2553656946336 has 72 divisors (see below), whose sum is σ = 7262352324864. Its totient is φ = 851173223040.

The previous prime is 2553656946331. The next prime is 2553656946341. The reversal of 2553656946336 is 6336496563552.

2553656946336 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 6 + 569 + 4 + 63 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2553656946331) and next prime (2553656946341).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2553656946331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5355975 + ... + 5813241.

It is an arithmetic number, because the mean of its divisors is an integer number (100866004512).

Almost surely, 2^{2553656946336} is an apocalyptic number.

It is an amenable number.

2553656946336 is an abundant number, since it is smaller than the sum of its proper divisors (4708695378528).

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

2553656946336 is a wasteful number, since it uses less digits than its factorization.

2553656946336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476674 (or 476663 counting only the distinct ones).

The product of its digits is 314928000, while the sum is 63.

The spelling of 2553656946336 in words is "two trillion, five hundred fifty-three billion, six hundred fifty-six million, nine hundred forty-six thousand, three hundred thirty-six".