32481187030656 has 768 divisors, whose sum is σ = 120114117527040. Its totient is φ = 8188897001472.

The previous prime is 32481187030609. The next prime is 32481187030667. The reversal of 32481187030656 is 65603078118423.

32481187030656 is a `hidden beast` number, since 3 + 2 + 481 + 1 + 8 + 70 + 30 + 65 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5191172680 + ... + 5191178936.

It is an arithmetic number, because the mean of its divisors is an integer number (156398590530).

Almost surely, 2^{32481187030656} is an apocalyptic number.

32481187030656 is a gapful number since it is divisible by the number (36) 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 32481187030656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60057058763520).

32481187030656 is an abundant number, since it is smaller than the sum of its proper divisors (87632930496384).

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

32481187030656 is a wasteful number, since it uses less digits than its factorization.

32481187030656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8473 (or 8458 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 32481187030656 in words is "thirty-two trillion, four hundred eighty-one billion, one hundred eighty-seven million, thirty thousand, six hundred fifty-six".