21734467900092 has 192 divisors, whose sum is σ = 59569171200000. Its totient is φ = 6841888107264.

The previous prime is 21734467900087. The next prime is 21734467900099. The reversal of 21734467900092 is 29000976443712.

21734467900092 is a `hidden beast` number, since 2 + 1 + 7 + 3 + 4 + 467 + 90 + 0 + 0 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21734467900099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239455534 + ... + 239546282.

It is an arithmetic number, because the mean of its divisors is an integer number (310256100000).

Almost surely, 2^{21734467900092} 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 21734467900092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29784585600000).

21734467900092 is an abundant number, since it is smaller than the sum of its proper divisors (37834703299908).

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

21734467900092 is a wasteful number, since it uses less digits than its factorization.

21734467900092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92465 (or 92457 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 21734467900092 in words is "twenty-one trillion, seven hundred thirty-four billion, four hundred sixty-seven million, nine hundred thousand, ninety-two".