32461256310912 has 960 divisors, whose sum is σ = 117277325383680. Its totient is φ = 8786780467200.

The previous prime is 32461256310887. The next prime is 32461256310941. The reversal of 32461256310912 is 21901365216423.

32461256310912 is a `hidden beast` number, since 3 + 2 + 4 + 6 + 1 + 2 + 5 + 631 + 0 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×32461256310912² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1424790273 + ... + 1424813055.

It is an arithmetic number, because the mean of its divisors is an integer number (122163880608).

Almost surely, 2^{32461256310912} is an apocalyptic number.

32461256310912 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 32461256310912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58638662691840).

32461256310912 is an abundant number, since it is smaller than the sum of its proper divisors (84816069072768).

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

32461256310912 is a wasteful number, since it uses less digits than its factorization.

32461256310912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22895 (or 22843 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 32461256310912 in words is "thirty-two trillion, four hundred sixty-one billion, two hundred fifty-six million, three hundred ten thousand, nine hundred twelve".