10321249546656 has 48 divisors (see below), whose sum is σ = 30103644513600. Its totient is φ = 3440416515264.

The previous prime is 10321249546633. The next prime is 10321249546711. The reversal of 10321249546656 is 65664594212301.

10321249546656 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 1 + 2 + 49 + 546 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5972944476 + ... + 5972946203.

It is an arithmetic number, because the mean of its divisors is an integer number (627159260700).

Almost surely, 2^{10321249546656} is an apocalyptic number.

10321249546656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10321249546656 is an abundant number, since it is smaller than the sum of its proper divisors (19782394966944).

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

10321249546656 is a wasteful number, since it uses less digits than its factorization.

10321249546656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11945890698 (or 11945890684 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 10321249546656 in words is "ten trillion, three hundred twenty-one billion, two hundred forty-nine million, five hundred forty-six thousand, six hundred fifty-six".