461559226151520 has 768 divisors, whose sum is σ = 1944680345395200. Its totient is φ = 99881187194880.

The previous prime is 461559226151497. The next prime is 461559226151521. The reversal of 461559226151520 is 25151622955164.

461559226151520 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 5 + 9 + 2 + 2 + 61 + 51 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461559226151521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 879389007 + ... + 879913713.

It is an arithmetic number, because the mean of its divisors is an integer number (2532135866400).

Almost surely, 2^{461559226151520} is an apocalyptic number.

461559226151520 is a gapful number since it is divisible by the number (40) 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 461559226151520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972340172697600).

461559226151520 is an abundant number, since it is smaller than the sum of its proper divisors (1483121119243680).

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

461559226151520 is a wasteful number, since it uses less digits than its factorization.

461559226151520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526288 (or 526274 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 461559226151520 in words is "four hundred sixty-one trillion, five hundred fifty-nine billion, two hundred twenty-six million, one hundred fifty-one thousand, five hundred twenty".