617406556096512 has 3840 divisors, whose sum is σ = 2436930878054400. Its totient is φ = 153219199795200.

The previous prime is 617406556096511. The next prime is 617406556096567. The reversal of 617406556096512 is 215690655604716.

617406556096512 is a `hidden beast` number, since 6 + 1 + 7 + 4 + 0 + 6 + 5 + 5 + 609 + 6 + 5 + 12 = 666.

It is a super-2 number, since 2×617406556096512² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 617406556096512.

It is not an unprimeable number, because it can be changed into a prime (617406556096511) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4088785139637 + ... + 4088785139787.

It is an arithmetic number, because the mean of its divisors is an integer number (634617416160).

Almost surely, 2^{617406556096512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 617406556096512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218465439027200).

617406556096512 is an abundant number, since it is smaller than the sum of its proper divisors (1819524321957888).

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

617406556096512 is a wasteful number, since it uses less digits than its factorization.

617406556096512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 617406556096512 in words is "six hundred seventeen trillion, four hundred six billion, five hundred fifty-six million, ninety-six thousand, five hundred twelve".