146531004768 has 72 divisors (see below), whose sum is σ = 423760264200. Its totient is φ = 48015803904.

The previous prime is 146531004731. The next prime is 146531004803. The reversal of 146531004768 is 867400135641.

146531004768 is a `hidden beast` number, since 1 + 46 + 531 + 0 + 0 + 4 + 76 + 8 = 666.

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

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, 4294773 + ... + 4328756.

It is an arithmetic number, because the mean of its divisors is an integer number (5885559225).

Almost surely, 2^146531004768 is an apocalyptic number.

146531004768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146531004768 is an abundant number, since it is smaller than the sum of its proper divisors (277229259432).

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

146531004768 is a wasteful number, since it uses less digits than its factorization.

146531004768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8623604 (or 8623593 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 146531004768 in words is "one hundred forty-six billion, five hundred thirty-one million, four thousand, seven hundred sixty-eight".