456670144061600 has 432 divisors, whose sum is σ = 1299858354865728. Its totient is φ = 156211136040960.

The previous prime is 456670144061591. The next prime is 456670144061623. The reversal of 456670144061600 is 6160441076654.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52812548477 + ... + 52812557123.

It is an arithmetic number, because the mean of its divisors is an integer number (3008931377004).

Almost surely, 2^{456670144061600} is an apocalyptic number.

456670144061600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456670144061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649929177432864).

456670144061600 is an abundant number, since it is smaller than the sum of its proper divisors (843188210804128).

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

456670144061600 is a wasteful number, since it uses less digits than its factorization.

456670144061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11637 (or 11617 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 456670144061600 in words is "four hundred fifty-six trillion, six hundred seventy billion, one hundred forty-four million, sixty-one thousand, six hundred".