459613245270816 has 1920 divisors, whose sum is σ = 1809141781708800. Its totient is φ = 113476360402944.

The previous prime is 459613245270787. The next prime is 459613245270833. The reversal of 459613245270816 is 618072542316954.

It is a happy number.

459613245270816 is a `hidden beast` number, since 4 + 5 + 9 + 6 + 1 + 3 + 24 + 527 + 0 + 81 + 6 = 666.

It is a super-2 number, since 2×459613245270816² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12493885575 + ... + 12493922361.

It is an arithmetic number, because the mean of its divisors is an integer number (942261344640).

It is a 1-persistent number, because it is pandigital, but 2⋅459613245270816 = 919226490541632 is not.

Almost surely, 2^{459613245270816} is an apocalyptic number.

459613245270816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459613245270816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904570890854400).

459613245270816 is an abundant number, since it is smaller than the sum of its proper divisors (1349528536437984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

459613245270816 is a wasteful number, since it uses less digits than its factorization.

459613245270816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36913 (or 36882 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 459613245270816 in words is "four hundred fifty-nine trillion, six hundred thirteen billion, two hundred forty-five million, two hundred seventy thousand, eight hundred sixteen".