456737540971 has 16 divisors (see below), whose sum is σ = 467017518240. Its totient is φ = 446590540800.

The previous prime is 456737540969. The next prime is 456737541041. The reversal of 456737540971 is 179045737654.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 456737540971 - 2¹ = 456737540969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456737540671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4525285 + ... + 4625113.

It is an arithmetic number, because the mean of its divisors is an integer number (29188594890).

Almost surely, 2^456737540971 is an apocalyptic number.

456737540971 is a deficient number, since it is larger than the sum of its proper divisors (10279977269).

456737540971 is a wasteful number, since it uses less digits than its factorization.

456737540971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100494.

The product of its (nonzero) digits is 22226400, while the sum is 58.

The spelling of 456737540971 in words is "four hundred fifty-six billion, seven hundred thirty-seven million, five hundred forty thousand, nine hundred seventy-one".