4513956892956 has 504 divisors, whose sum is σ = 14712645306240. Its totient is φ = 1205026502400.

The previous prime is 4513956892943. The next prime is 4513956892961. The reversal of 4513956892956 is 6592986593154.

4513956892956 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 9 + 568 + 9 + 2 + 9 + 56 = 666.

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 128435146 + ... + 128470286.

It is an arithmetic number, because the mean of its divisors is an integer number (29191756560).

Almost surely, 2^{4513956892956} 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 4513956892956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7356322653120).

4513956892956 is an abundant number, since it is smaller than the sum of its proper divisors (10198688413284).

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

4513956892956 is a wasteful number, since it uses less digits than its factorization.

4513956892956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35237 (or 35213 counting only the distinct ones).

The product of its digits is 629856000, while the sum is 72.

The spelling of 4513956892956 in words is "four trillion, five hundred thirteen billion, nine hundred fifty-six million, eight hundred ninety-two thousand, nine hundred fifty-six".