22155658164000 has 576 divisors, whose sum is σ = 83746660862592. Its totient is φ = 5748485760000.

The previous prime is 22155658163987. The next prime is 22155658164049. The reversal of 22155658164000 is 46185655122.

22155658164000 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 5 + 6 + 581 + 64 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35655975 + ... + 36272025.

It is an arithmetic number, because the mean of its divisors is an integer number (145393508442).

Almost surely, 2^{22155658164000} is an apocalyptic number.

22155658164000 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 22155658164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41873330431296).

22155658164000 is an abundant number, since it is smaller than the sum of its proper divisors (61591002698592).

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

22155658164000 is an equidigital number, since it uses as much as digits as its factorization.

22155658164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616128 (or 616098 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 22155658164000 in words is "twenty-two trillion, one hundred fifty-five billion, six hundred fifty-eight million, one hundred sixty-four thousand".