456025374836850 has 192 divisors, whose sum is σ = 1393277266047744. Its totient is φ = 96123197214720.

The previous prime is 456025374836839. The next prime is 456025374836891. The reversal of 456025374836850 is 58638473520654.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2070147 + ... + 30271046.

It is an arithmetic number, because the mean of its divisors is an integer number (7256652427332).

Almost surely, 2^{456025374836850} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456025374836850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696638633023872).

456025374836850 is an abundant number, since it is smaller than the sum of its proper divisors (937251891210894).

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

456025374836850 is a wasteful number, since it uses less digits than its factorization.

456025374836850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32342261 (or 32342256 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 66.

The spelling of 456025374836850 in words is "four hundred fifty-six trillion, twenty-five billion, three hundred seventy-four million, eight hundred thirty-six thousand, eight hundred fifty".