4956521903136 has 288 divisors, whose sum is σ = 14810198457600. Its totient is φ = 1570265948160.

The previous prime is 4956521903071. The next prime is 4956521903143. The reversal of 4956521903136 is 6313091256594.

4956521903136 is a `hidden beast` number, since 4 + 9 + 56 + 521 + 9 + 0 + 31 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222344151 + ... + 222366441.

It is an arithmetic number, because the mean of its divisors is an integer number (51424300200).

Almost surely, 2^{4956521903136} 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 4956521903136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405099228800).

4956521903136 is an abundant number, since it is smaller than the sum of its proper divisors (9853676554464).

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

4956521903136 is a wasteful number, since it uses less digits than its factorization.

4956521903136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22752 (or 22741 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 4956521903136 in words is "four trillion, nine hundred fifty-six billion, five hundred twenty-one million, nine hundred three thousand, one hundred thirty-six".