412147548864 has 336 divisors, whose sum is σ = 1291795232000. Its totient is φ = 129928375296.

The previous prime is 412147548859. The next prime is 412147548887. The reversal of 412147548864 is 468845741214.

412147548864 is a `hidden beast` number, since 4 + 1 + 2 + 14 + 7 + 548 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 412147548864.

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, 294600837 + ... + 294602235.

Almost surely, 2^412147548864 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 412147548864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645897616000).

412147548864 is an abundant number, since it is smaller than the sum of its proper divisors (879647683136).

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

412147548864 is a wasteful number, since it uses less digits than its factorization.

412147548864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2420 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 412147548864 in words is "four hundred twelve billion, one hundred forty-seven million, five hundred forty-eight thousand, eight hundred sixty-four".