4756137253056 has 504 divisors, whose sum is σ = 16184983875840. Its totient is φ = 1308048279552.

The previous prime is 4756137253001. The next prime is 4756137253079. The reversal of 4756137253056 is 6503527316574.

4756137253056 is a `hidden beast` number, since 4 + 7 + 56 + 1 + 3 + 7 + 2 + 530 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 4756137252993 and 4756137253011.

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, 1217335455 + ... + 1217339361.

Almost surely, 2^{4756137253056} 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 4756137253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8092491937920).

4756137253056 is an abundant number, since it is smaller than the sum of its proper divisors (11428846622784).

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

4756137253056 is a wasteful number, since it uses less digits than its factorization.

4756137253056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 4756137253056 in words is "four trillion, seven hundred fifty-six billion, one hundred thirty-seven million, two hundred fifty-three thousand, fifty-six".