456754651120331 has 8 divisors (see below), whose sum is σ = 480831368015520. Its totient is φ = 433029419143552.

The previous prime is 456754651120307. The next prime is 456754651120349. The reversal of 456754651120331 is 133021156457654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456754651120331 - 2²² = 456754646926027 is a prime.

It is a super-2 number, since 2×456754651120331² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456754651129331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87871226936 + ... + 87871232133.

It is an arithmetic number, because the mean of its divisors is an integer number (60103921001940).

Almost surely, 2^{456754651120331} is an apocalyptic number.

456754651120331 is a deficient number, since it is larger than the sum of its proper divisors (24076716895189).

456754651120331 is a wasteful number, since it uses less digits than its factorization.

456754651120331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175742459205.

The product of its (nonzero) digits is 9072000, while the sum is 53.

The spelling of 456754651120331 in words is "four hundred fifty-six trillion, seven hundred fifty-four billion, six hundred fifty-one million, one hundred twenty thousand, three hundred thirty-one".