456016606080 has 1024 divisors, whose sum is σ = 1854833541120. Its totient is φ = 92844195840.

The previous prime is 456016606021. The next prime is 456016606081. The reversal of 456016606080 is 80606610654.

It is a super-2 number, since 2×456016606080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456016606081) 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 127 ways as a sum of consecutive naturals, for example, 562288875 + ... + 562289685.

It is an arithmetic number, because the mean of its divisors is an integer number (1811360880).

Almost surely, 2^456016606080 is an apocalyptic number.

456016606080 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 456016606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927416770560).

456016606080 is an abundant number, since it is smaller than the sum of its proper divisors (1398816935040).

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

456016606080 is a wasteful number, since it uses less digits than its factorization.

456016606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 456016606080 in words is "four hundred fifty-six billion, sixteen million, six hundred six thousand, eighty".