456427058201191 has 96 divisors (see below), whose sum is σ = 630427446964224. Its totient is φ = 320598853632000.

The previous prime is 456427058201167. The next prime is 456427058201243. The reversal of 456427058201191 is 191102850724654.

It is not a de Polignac number, because 456427058201191 - 2²⁹ = 456426521330279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456427058201291) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63504261 + ... + 70325281.

It is an arithmetic number, because the mean of its divisors is an integer number (6566952572544).

Almost surely, 2^{456427058201191} is an apocalyptic number.

456427058201191 is a deficient number, since it is larger than the sum of its proper divisors (174000388763033).

456427058201191 is a wasteful number, since it uses less digits than its factorization.

456427058201191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821201 (or 6821184 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 456427058201191 in words is "four hundred fifty-six trillion, four hundred twenty-seven billion, fifty-eight million, two hundred one thousand, one hundred ninety-one".