2813697598464 has 297 divisors, whose sum is σ = 8253433822699. Its totient is φ = 923245363200.

The previous prime is 2813697598441. The next prime is 2813697598477. The reversal of 2813697598464 is 4648957963182.

The square root of 2813697598464 is 1677408.

It is a perfect power (a square), and thus also a powerful number.

2813697598464 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 6 + 9 + 75 + 98 + 464 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2155963622400 + 657733976064 = 1468320^2 + 811008^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2813697598392 and 2813697598401.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16264147882 + ... + 16264148054.

Almost surely, 2^{2813697598464} is an apocalyptic number.

2813697598464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2813697598464 is the 1677408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813697598464

2813697598464 is an abundant number, since it is smaller than the sum of its proper divisors (5439736224235).

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

2813697598464 is an equidigital number, since it uses as much as digits as its factorization.

2813697598464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 279 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 2813697598464 in words is "two trillion, eight hundred thirteen billion, six hundred ninety-seven million, five hundred ninety-eight thousand, four hundred sixty-four".