3648557382912 has 108 divisors (see below), whose sum is σ = 11328897452964. Its totient is φ = 1122633031680.

The previous prime is 3648557382907. The next prime is 3648557382947. The reversal of 3648557382912 is 2192837558463.

3648557382912 is a `hidden beast` number, since 3 + 6 + 48 + 5 + 573 + 8 + 2 + 9 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1044026194176 + 2604531188736 = 1021776^2 + 1613856^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3648557382912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60876789 + ... + 60936692.

Almost surely, 2^{3648557382912} is an apocalyptic number.

3648557382912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3648557382912 is an abundant number, since it is smaller than the sum of its proper divisors (7680340070052).

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

3648557382912 is a wasteful number, since it uses less digits than its factorization.

3648557382912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121813516 (or 121813499 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 3648557382912 in words is "three trillion, six hundred forty-eight billion, five hundred fifty-seven million, three hundred eighty-two thousand, nine hundred twelve".