4612370216256 has 392 divisors, whose sum is σ = 15215768875488. Its totient is φ = 1374765696000.

The previous prime is 4612370216213. The next prime is 4612370216291. The reversal of 4612370216256 is 6526120732164.

4612370216256 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 370 + 21 + 6 + 256 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31232511 + ... + 31379841.

Almost surely, 2^{4612370216256} 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 4612370216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607884437744).

4612370216256 is an abundant number, since it is smaller than the sum of its proper divisors (10603398659232).

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

4612370216256 is a wasteful number, since it uses less digits than its factorization.

4612370216256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147433 (or 147408 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4612370216256 in words is "four trillion, six hundred twelve billion, three hundred seventy million, two hundred sixteen thousand, two hundred fifty-six".