22412859356160 has 4928 divisors, whose sum is σ = 109696331243520. Its totient is φ = 4256818790400.

The previous prime is 22412859356159. The next prime is 22412859356177. The reversal of 22412859356160 is 6165395821422.

22412859356160 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 28 + 59 + 3 + 561 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22412859356097 and 22412859356106.

It is a congruent number.

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, 148429532085 + ... + 148429532235.

Almost surely, 2^{22412859356160} is an apocalyptic number.

22412859356160 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 22412859356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54848165621760).

22412859356160 is an abundant number, since it is smaller than the sum of its proper divisors (87283471887360).

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

22412859356160 is a wasteful number, since it uses less digits than its factorization.

22412859356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 22412859356160 in words is "twenty-two trillion, four hundred twelve billion, eight hundred fifty-nine million, three hundred fifty-six thousand, one hundred sixty".