132214662653056 has 256 divisors, whose sum is σ = 280311584457600. Its totient is φ = 61943163125760.

The previous prime is 132214662653011. The next prime is 132214662653057. The reversal of 132214662653056 is 650356266412231.

It is a super-2 number, since 2×132214662653056² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132214662652994 and 132214662653012.

It is not an unprimeable number, because it can be changed into a prime (132214662653057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96296184786 + ... + 96296186158.

Almost surely, 2^{132214662653056} is an apocalyptic number.

132214662653056 is a gapful number since it is divisible by the number (16) 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 132214662653056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140155792228800).

132214662653056 is an abundant number, since it is smaller than the sum of its proper divisors (148096921804544).

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

132214662653056 is a wasteful number, since it uses less digits than its factorization.

132214662653056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 52.

The spelling of 132214662653056 in words is "one hundred thirty-two trillion, two hundred fourteen billion, six hundred sixty-two million, six hundred fifty-three thousand, fifty-six".