456427317564150 has 48 divisors (see below), whose sum is σ = 1181154519201024. Its totient is φ = 116422040421280.

The previous prime is 456427317564103. The next prime is 456427317564151. The reversal of 456427317564150 is 51465713724654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456427317564151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66148883154 + ... + 66148890053.

It is an arithmetic number, because the mean of its divisors is an integer number (24607385816688).

Almost surely, 2^{456427317564150} is an apocalyptic number.

456427317564150 is an abundant number, since it is smaller than the sum of its proper divisors (724727201636874).

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

456427317564150 is a wasteful number, since it uses less digits than its factorization.

456427317564150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132297773245 (or 132297773240 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 60.

The spelling of 456427317564150 in words is "four hundred fifty-six trillion, four hundred twenty-seven billion, three hundred seventeen million, five hundred sixty-four thousand, one hundred fifty".