4757934118656 has 288 divisors, whose sum is σ = 13528155852288. Its totient is φ = 1479331676160.

The previous prime is 4757934118649. The next prime is 4757934118657. The reversal of 4757934118656 is 6568114397574.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4757934118657) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1818085860 + ... + 1818088476.

It is an arithmetic number, because the mean of its divisors is an integer number (46972763376).

Almost surely, 2^{4757934118656} 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 4757934118656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764077926144).

4757934118656 is an abundant number, since it is smaller than the sum of its proper divisors (8770221733632).

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

4757934118656 is a wasteful number, since it uses less digits than its factorization.

4757934118656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3833 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 66.

The spelling of 4757934118656 in words is "four trillion, seven hundred fifty-seven billion, nine hundred thirty-four million, one hundred eighteen thousand, six hundred fifty-six".