2958716488464 has 405 divisors, whose sum is σ = 9271512730389. Its totient is φ = 880136674560.

The previous prime is 2958716488459. The next prime is 2958716488517. The reversal of 2958716488464 is 4648846178592.

The square root of 2958716488464 is 1720092.

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

2958716488464 is a `hidden beast` number, since 2 + 9 + 5 + 87 + 1 + 6 + 4 + 88 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 867245187600 + 2091471300864 = 931260^2 + 1446192^2 .

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

Its product of digits (743178240) is a multiple of the sum of its prime divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 2958716488392 and 2958716488401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18845327874 + ... + 18845328030.

Almost surely, 2^{2958716488464} is an apocalyptic number.

2958716488464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2958716488464 is the 1720092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2958716488464

2958716488464 is an abundant number, since it is smaller than the sum of its proper divisors (6312796241925).

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

2958716488464 is a wasteful number, since it uses less digits than its factorization.

2958716488464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 256 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 72.

The spelling of 2958716488464 in words is "two trillion, nine hundred fifty-eight billion, seven hundred sixteen million, four hundred eighty-eight thousand, four hundred sixty-four".