456747650713640 has 192 divisors, whose sum is σ = 1280519481830400. Its totient is φ = 145244743902720.

The previous prime is 456747650713631. The next prime is 456747650713663. The reversal of 456747650713640 is 46317056747654.

It is a super-3 number, since 3×456747650713640³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189835592 + ... + 192226551.

It is an arithmetic number, because the mean of its divisors is an integer number (6669372301200).

Almost surely, 2^{456747650713640} is an apocalyptic number.

456747650713640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456747650713640 is an abundant number, since it is smaller than the sum of its proper divisors (823771831116760).

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

456747650713640 is a wasteful number, since it uses less digits than its factorization.

456747650713640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382062208 (or 382062193 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 65.

The spelling of 456747650713640 in words is "four hundred fifty-six trillion, seven hundred forty-seven billion, six hundred fifty million, seven hundred thirteen thousand, six hundred forty".