456750378120 has 32 divisors (see below), whose sum is σ = 1370251134720. Its totient is φ = 121800100800.

The previous prime is 456750378109. The next prime is 456750378121. The reversal of 456750378120 is 21873057654.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 456750378120.

It is not an unprimeable number, because it can be changed into a prime (456750378121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1903126456 + ... + 1903126695.

It is an arithmetic number, because the mean of its divisors is an integer number (42820347960).

Almost surely, 2^456750378120 is an apocalyptic number.

456750378120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456750378120 is an abundant number, since it is smaller than the sum of its proper divisors (913500756600).

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

456750378120 is a wasteful number, since it uses less digits than its factorization.

456750378120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806253165 (or 3806253161 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 456750378120 in words is "four hundred fifty-six billion, seven hundred fifty million, three hundred seventy-eight thousand, one hundred twenty".