4956917256 has 128 divisors (see below), whose sum is σ = 14785286400. Its totient is φ = 1533127680.

The previous prime is 4956917209. The next prime is 4956917257. The reversal of 4956917256 is 6527196594.

4956917256 is a `hidden beast` number, since 4 + 9 + 569 + 1 + 72 + 5 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4956917257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251206 + ... + 270218.

It is an arithmetic number, because the mean of its divisors is an integer number (115510050).

Almost surely, 2^4956917256 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 4956917256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392643200).

4956917256 is an abundant number, since it is smaller than the sum of its proper divisors (9828369144).

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

4956917256 is a wasteful number, since it uses less digits than its factorization.

4956917256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19116 (or 19106 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 4956917256 is about 70405.3780332156. The cubic root of 4956917256 is about 1705.0504086942.

The spelling of 4956917256 in words is "four billion, nine hundred fifty-six million, nine hundred seventeen thousand, two hundred fifty-six".