146009967676704 has 72 divisors (see below), whose sum is σ = 416412433316880. Its totient is φ = 48529729857408.

The previous prime is 146009967676691. The next prime is 146009967676709. The reversal of 146009967676704 is 407676769900641.

146009967676704 is a `hidden beast` number, since 1 + 4 + 600 + 9 + 9 + 6 + 7 + 6 + 7 + 6 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (146009967676709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 730417434 + ... + 730617305.

It is an arithmetic number, because the mean of its divisors is an integer number (5783506018290).

Almost surely, 2^{146009967676704} is an apocalyptic number.

It is an amenable number.

146009967676704 is an abundant number, since it is smaller than the sum of its proper divisors (270402465640176).

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

146009967676704 is a wasteful number, since it uses less digits than its factorization.

146009967676704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461035102 (or 1461035091 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 146009967676704 in words is "one hundred forty-six trillion, nine billion, nine hundred sixty-seven million, six hundred seventy-six thousand, seven hundred four".