22348166400 has 648 divisors, whose sum is σ = 93510056640. Its totient is φ = 4985487360.

The previous prime is 22348166381. The next prime is 22348166417. The reversal of 22348166400 is 466184322.

22348166400 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 8 + 1 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17336956 + ... + 17338244.

Almost surely, 2^22348166400 is an apocalyptic number.

22348166400 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 22348166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46755028320).

22348166400 is an abundant number, since it is smaller than the sum of its proper divisors (71161890240).

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

22348166400 is a wasteful number, since it uses less digits than its factorization.

22348166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 22348166400 in words is "twenty-two billion, three hundred forty-eight million, one hundred sixty-six thousand, four hundred".