2961387173664 has 96 divisors (see below), whose sum is σ = 8637754870080. Its totient is φ = 987086131200.

The previous prime is 2961387173659. The next prime is 2961387173699. The reversal of 2961387173664 is 4663717831692.

It is a happy number.

2961387173664 is a `hidden beast` number, since 2 + 9 + 613 + 8 + 7 + 1 + 7 + 3 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24486784 + ... + 24607424.

It is an arithmetic number, because the mean of its divisors is an integer number (89976613230).

Almost surely, 2^{2961387173664} is an apocalyptic number.

2961387173664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2961387173664 is an abundant number, since it is smaller than the sum of its proper divisors (5676367696416).

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

2961387173664 is a wasteful number, since it uses less digits than its factorization.

2961387173664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149071 (or 149057 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 2961387173664 in words is "two trillion, nine hundred sixty-one billion, three hundred eighty-seven million, one hundred seventy-three thousand, six hundred sixty-four".