32481254764512 has 288 divisors, whose sum is σ = 98694741600000. Its totient is φ = 10103003043840.

The previous prime is 32481254764459. The next prime is 32481254764561. The reversal of 32481254764512 is 21546745218423.

32481254764512 is a `hidden beast` number, since 3 + 2 + 4 + 8 + 1 + 2 + 54 + 76 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×32481254764512² (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, 407509239 + ... + 407588937.

It is an arithmetic number, because the mean of its divisors is an integer number (342690075000).

Almost surely, 2^{32481254764512} is an apocalyptic number.

32481254764512 is a gapful number since it is divisible by the number (32) 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 32481254764512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49347370800000).

32481254764512 is an abundant number, since it is smaller than the sum of its proper divisors (66213486835488).

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

32481254764512 is a wasteful number, since it uses less digits than its factorization.

32481254764512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80854 (or 80843 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 32481254764512 in words is "thirty-two trillion, four hundred eighty-one billion, two hundred fifty-four million, seven hundred sixty-four thousand, five hundred twelve".