32133456044544 has 160 divisors (see below), whose sum is σ = 86541473741184. Its totient is φ = 10594262220800.

The previous prime is 32133456044539. The next prime is 32133456044579. The reversal of 32133456044544 is 44544065433123.

It is a super-2 number, since 2×32133456044544² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 32133456044493 and 32133456044502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152393332 + ... + 152604044.

Almost surely, 2^{32133456044544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32133456044544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43270736870592).

32133456044544 is an abundant number, since it is smaller than the sum of its proper divisors (54408017696640).

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

32133456044544 is a wasteful number, since it uses less digits than its factorization.

32133456044544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211818 (or 211802 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 32133456044544 in words is "thirty-two trillion, one hundred thirty-three billion, four hundred fifty-six million, forty-four thousand, five hundred forty-four".