32805382654464 has 320 divisors, whose sum is σ = 103143017472000. Its totient is φ = 9067059855360.

The previous prime is 32805382654459. The next prime is 32805382654493. The reversal of 32805382654464 is 46445628350823.

It is a super-2 number, since 2×32805382654464² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32805382654398 and 32805382654407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 916256787 + ... + 916292589.

It is an arithmetic number, because the mean of its divisors is an integer number (322321929600).

Almost surely, 2^{32805382654464} 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 32805382654464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51571508736000).

32805382654464 is an abundant number, since it is smaller than the sum of its proper divisors (70337634817536).

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

32805382654464 is a wasteful number, since it uses less digits than its factorization.

32805382654464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38611 (or 38595 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 60.

The spelling of 32805382654464 in words is "thirty-two trillion, eight hundred five billion, three hundred eighty-two million, six hundred fifty-four thousand, four hundred sixty-four".