32481608684616 has 768 divisors, whose sum is σ = 112618501632000. Its totient is φ = 8227172229120.

The previous prime is 32481608684557. The next prime is 32481608684633. The reversal of 32481608684616 is 61648680618423.

It is a happy number.

32481608684616 is a `hidden beast` number, since 3 + 2 + 4 + 8 + 1 + 6 + 0 + 8 + 6 + 8 + 4 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16008677490 + ... + 16008679518.

It is an arithmetic number, because the mean of its divisors is an integer number (146638674000).

Almost surely, 2^{32481608684616} is an apocalyptic number.

32481608684616 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 32481608684616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56309250816000).

32481608684616 is an abundant number, since it is smaller than the sum of its proper divisors (80136892947384).

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

32481608684616 is a wasteful number, since it uses less digits than its factorization.

32481608684616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 32481608684616 in words is "thirty-two trillion, four hundred eighty-one billion, six hundred eight million, six hundred eighty-four thousand, six hundred sixteen".