146509337664 has 84 divisors (see below), whose sum is σ = 423249409024. Its totient is φ = 48451882752.

The previous prime is 146509337651. The next prime is 146509337693. The reversal of 146509337664 is 466733905641.

146509337664 is a `hidden beast` number, since 1 + 4 + 6 + 509 + 3 + 3 + 76 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 146509337664.

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, 928252 + ... + 1074555.

Almost surely, 2^146509337664 is an apocalyptic number.

It is an amenable number.

146509337664 is an abundant number, since it is smaller than the sum of its proper divisors (276740071360).

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

146509337664 is a wasteful number, since it uses less digits than its factorization.

146509337664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002952 (or 2002939 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 146509337664 in words is "one hundred forty-six billion, five hundred nine million, three hundred thirty-seven thousand, six hundred sixty-four".