22945628160 has 1280 divisors, whose sum is σ = 106575638400. Its totient is φ = 4586471424.

The previous prime is 22945628159. The next prime is 22945628171. The reversal of 22945628160 is 6182654922.

22945628160 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 5 + 628 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1207664631 + ... + 1207664649.

Almost surely, 2^22945628160 is an apocalyptic number.

22945628160 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 22945628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53287819200).

22945628160 is an abundant number, since it is smaller than the sum of its proper divisors (83630010240).

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

22945628160 is an equidigital number, since it uses as much as digits as its factorization.

22945628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 22945628160 in words is "twenty-two billion, nine hundred forty-five million, six hundred twenty-eight thousand, one hundred sixty".