456645344160 has 192 divisors, whose sum is σ = 1445848911360. Its totient is φ = 121145472000.

The previous prime is 456645344083. The next prime is 456645344167. The reversal of 456645344160 is 61443546654.

It is a super-2 number, since 2×456645344160² (a number of 24 digits) contains 22 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (456645344167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140116611 + ... + 140119869.

It is an arithmetic number, because the mean of its divisors is an integer number (7530463080).

Almost surely, 2^456645344160 is an apocalyptic number.

456645344160 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 456645344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722924455680).

456645344160 is an abundant number, since it is smaller than the sum of its proper divisors (989203567200).

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

456645344160 is a wasteful number, since it uses less digits than its factorization.

456645344160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 456645344160 in words is "four hundred fifty-six billion, six hundred forty-five million, three hundred forty-four thousand, one hundred sixty".