456065743904680 has 192 divisors, whose sum is σ = 1341395472090240. Its totient is φ = 138061755836928.

The previous prime is 456065743904629. The next prime is 456065743904711. The reversal of 456065743904680 is 86409347560654.

It is a happy number.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

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, 388521994 + ... + 389694073.

It is an arithmetic number, because the mean of its divisors is an integer number (6986434750470).

Almost surely, 2^{456065743904680} is an apocalyptic number.

456065743904680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456065743904680 is an abundant number, since it is smaller than the sum of its proper divisors (885329728185560).

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

456065743904680 is a wasteful number, since it uses less digits than its factorization.

456065743904680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778216128 (or 778216117 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 67.

The spelling of 456065743904680 in words is "four hundred fifty-six trillion, sixty-five billion, seven hundred forty-three million, nine hundred four thousand, six hundred eighty".