456154096320 has 448 divisors, whose sum is σ = 1734872832000. Its totient is φ = 112162516992.

The previous prime is 456154096309. The next prime is 456154096337. The reversal of 456154096320 is 23690451654.

456154096320 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 5 + 4 + 0 + 9 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 148148541 + ... + 148151619.

It is an arithmetic number, because the mean of its divisors is an integer number (3872484000).

Almost surely, 2^456154096320 is an apocalyptic number.

456154096320 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 456154096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867436416000).

456154096320 is an abundant number, since it is smaller than the sum of its proper divisors (1278718735680).

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

456154096320 is a wasteful number, since it uses less digits than its factorization.

456154096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 456154096320 in words is "four hundred fifty-six billion, one hundred fifty-four million, ninety-six thousand, three hundred twenty".