10923714772992 has 384 divisors, whose sum is σ = 36143611545600. Its totient is φ = 3114263642112.

The previous prime is 10923714772991. The next prime is 10923714773017. The reversal of 10923714772992 is 29927741732901.

10923714772992 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 3 + 71 + 477 + 2 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10923714772991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988834413 + ... + 988845459.

It is an arithmetic number, because the mean of its divisors is an integer number (94123988400).

Almost surely, 2^{10923714772992} is an apocalyptic number.

10923714772992 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 10923714772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18071805772800).

10923714772992 is an abundant number, since it is smaller than the sum of its proper divisors (25219896772608).

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

10923714772992 is an equidigital number, since it uses as much as digits as its factorization.

10923714772992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11569 (or 11538 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 10923714772992 in words is "ten trillion, nine hundred twenty-three billion, seven hundred fourteen million, seven hundred seventy-two thousand, nine hundred ninety-two".