22116459456000 has 3840 divisors, whose sum is σ = 104669300736000. Its totient is φ = 4502863872000.

The previous prime is 22116459455989. The next prime is 22116459456023. The reversal of 22116459456000 is 65495461122.

22116459456000 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 6 + 4 + 594 + 56 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 63370943826 + ... + 63370944174.

It is an arithmetic number, because the mean of its divisors is an integer number (27257630400).

Almost surely, 2^{22116459456000} is an apocalyptic number.

22116459456000 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 22116459456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52334650368000).

22116459456000 is an abundant number, since it is smaller than the sum of its proper divisors (82552841280000).

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

22116459456000 is a wasteful number, since it uses less digits than its factorization.

22116459456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 22116459456000 in words is "twenty-two trillion, one hundred sixteen billion, four hundred fifty-nine million, four hundred fifty-six thousand".