22615135014912 has 624 divisors, whose sum is σ = 68639709788160. Its totient is φ = 6610526208000.

The previous prime is 22615135014893. The next prime is 22615135014929. The reversal of 22615135014912 is 21941053151622.

It is a happy number.

It is a super-2 number, since 2×22615135014912² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19312668087 + ... + 19312669257.

Almost surely, 2^{22615135014912} is an apocalyptic number.

22615135014912 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 22615135014912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34319854894080).

22615135014912 is an abundant number, since it is smaller than the sum of its proper divisors (46024574773248).

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

22615135014912 is a wasteful number, since it uses less digits than its factorization.

22615135014912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 22615135014912 in words is "twenty-two trillion, six hundred fifteen billion, one hundred thirty-five million, fourteen thousand, nine hundred twelve".