463913910645120 has 3072 divisors, whose sum is σ = 1960493760691200. Its totient is φ = 102689290321920.

The previous prime is 463913910645109. The next prime is 463913910645193. The reversal of 463913910645120 is 21546019319364.

463913910645120 is a `hidden beast` number, since 4 + 6 + 3 + 9 + 13 + 9 + 106 + 4 + 512 + 0 = 666.

It is a super-2 number, since 2×463913910645120² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 304605324679 + ... + 304605326201.

It is an arithmetic number, because the mean of its divisors is an integer number (638181562725).

Almost surely, 2^{463913910645120} is an apocalyptic number.

463913910645120 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 463913910645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980246880345600).

463913910645120 is an abundant number, since it is smaller than the sum of its proper divisors (1496579850046080).

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

463913910645120 is a wasteful number, since it uses less digits than its factorization.

463913910645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 463913910645120 in words is "four hundred sixty-three trillion, nine hundred thirteen billion, nine hundred ten million, six hundred forty-five thousand, one hundred twenty".