22271835856512 has 256 divisors, whose sum is σ = 66677898608640. Its totient is φ = 6525611520000.

The previous prime is 22271835856489. The next prime is 22271835856531. The reversal of 22271835856512 is 21565853817222.

It is a super-2 number, since 2×22271835856512² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150642658 + ... + 150790430.

It is an arithmetic number, because the mean of its divisors is an integer number (260460541440).

Almost surely, 2^{22271835856512} is an apocalyptic number.

22271835856512 is a gapful number since it is divisible by the number (22) 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 22271835856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33338949304320).

22271835856512 is an abundant number, since it is smaller than the sum of its proper divisors (44406062752128).

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

22271835856512 is a wasteful number, since it uses less digits than its factorization.

22271835856512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148983 (or 148971 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 57.

The spelling of 22271835856512 in words is "twenty-two trillion, two hundred seventy-one billion, eight hundred thirty-five million, eight hundred fifty-six thousand, five hundred twelve".