4809654644256 has 432 divisors, whose sum is σ = 17199130620672. Its totient is φ = 1247986206720.

The previous prime is 4809654644177. The next prime is 4809654644269. The reversal of 4809654644256 is 6524464569084.

4809654644256 is a `hidden beast` number, since 4 + 8 + 0 + 96 + 54 + 6 + 442 + 56 = 666.

It is a super-3 number, since 3×4809654644256³ (a number of 39 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4809654644193 and 4809654644202.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 251976345 + ... + 251995431.

Almost surely, 2^{4809654644256} 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 4809654644256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8599565310336).

4809654644256 is an abundant number, since it is smaller than the sum of its proper divisors (12389475976416).

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

4809654644256 is a wasteful number, since it uses less digits than its factorization.

4809654644256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20165 (or 20143 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 4809654644256 in words is "four trillion, eight hundred nine billion, six hundred fifty-four million, six hundred forty-four thousand, two hundred fifty-six".