10214837008992 has 432 divisors, whose sum is σ = 36872073830592. Its totient is φ = 2652548451840.

The previous prime is 10214837008979. The next prime is 10214837008997. The reversal of 10214837008992 is 29980073841201.

10214837008992 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 483 + 70 + 0 + 8 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214837008997) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1167805963 + ... + 1167814709.

It is an arithmetic number, because the mean of its divisors is an integer number (85352022756).

Almost surely, 2^{10214837008992} is an apocalyptic number.

10214837008992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214837008992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18436036915296).

10214837008992 is an abundant number, since it is smaller than the sum of its proper divisors (26657236821600).

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

10214837008992 is a wasteful number, since it uses less digits than its factorization.

10214837008992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16311 (or 16293 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10214837008992 in words is "ten trillion, two hundred fourteen billion, eight hundred thirty-seven million, eight thousand, nine hundred ninety-two".