2456730468577 has 32 divisors (see below), whose sum is σ = 3202388213760. Its totient is φ = 1827505331520.

The previous prime is 2456730468443. The next prime is 2456730468581. The reversal of 2456730468577 is 7758640376542.

It is a de Polignac number, because none of the positive numbers 2^k-2456730468577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2456730468877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461233 + ... + 2264110.

It is an arithmetic number, because the mean of its divisors is an integer number (100074631680).

Almost surely, 2^{2456730468577} is an apocalyptic number.

It is an amenable number.

2456730468577 is a deficient number, since it is larger than the sum of its proper divisors (745657745183).

2456730468577 is a wasteful number, since it uses less digits than its factorization.

2456730468577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725893.

The product of its (nonzero) digits is 237081600, while the sum is 64.

The spelling of 2456730468577 in words is "two trillion, four hundred fifty-six billion, seven hundred thirty million, four hundred sixty-eight thousand, five hundred seventy-seven".