456155936129280 has 576 divisors, whose sum is σ = 1488661482405888. Its totient is φ = 119017022423040.

The previous prime is 456155936129279. The next prime is 456155936129291. The reversal of 456155936129280 is 82921639551654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23355473115 + ... + 23355492645.

It is an arithmetic number, because the mean of its divisors is an integer number (2584481740288).

Almost surely, 2^{456155936129280} is an apocalyptic number.

456155936129280 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 456155936129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744330741202944).

456155936129280 is an abundant number, since it is smaller than the sum of its proper divisors (1032505546276608).

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

456155936129280 is a wasteful number, since it uses less digits than its factorization.

456155936129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20342 (or 20328 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 66.

The spelling of 456155936129280 in words is "four hundred fifty-six trillion, one hundred fifty-five billion, nine hundred thirty-six million, one hundred twenty-nine thousand, two hundred eighty".