22351329000000 has 3136 divisors, whose sum is σ = 110412386703360. Its totient is φ = 4281984000000.

The previous prime is 22351328999999. The next prime is 22351329000031. The reversal of 22351329000000 is 92315322.

22351329000000 is a `hidden beast` number, since 22 + 351 + 3 + 290 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 27026999587 + ... + 27027000413.

Almost surely, 2^{22351329000000} is an apocalyptic number.

22351329000000 is a gapful number since it is divisible by the number (20) 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 22351329000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55206193351680).

22351329000000 is an abundant number, since it is smaller than the sum of its proper divisors (88061057703360).

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

22351329000000 is an equidigital number, since it uses as much as digits as its factorization.

22351329000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 22351329000000 in words is "twenty-two trillion, three hundred fifty-one billion, three hundred twenty-nine million", and thus it is an aban number.