456312734178 has 64 divisors (see below), whose sum is σ = 1062117826560. Its totient is φ = 128000779200.

The previous prime is 456312734177. The next prime is 456312734221. The reversal of 456312734178 is 871437213654.

It is a super-2 number, since 2×456312734178² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 456312734178.

It is not an unprimeable number, because it can be changed into a prime (456312734177) 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, 392568 + ... + 1032828.

It is an arithmetic number, because the mean of its divisors is an integer number (16595591040).

Almost surely, 2^456312734178 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456312734178, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531058913280).

456312734178 is an abundant number, since it is smaller than the sum of its proper divisors (605805092382).

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

456312734178 is a wasteful number, since it uses less digits than its factorization.

456312734178 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640583.

The product of its digits is 3386880, while the sum is 51.

The spelling of 456312734178 in words is "four hundred fifty-six billion, three hundred twelve million, seven hundred thirty-four thousand, one hundred seventy-eight".