2456133830964 has 36 divisors (see below), whose sum is σ = 6772975110720. Its totient is φ = 744282978960.

The previous prime is 2456133830963. The next prime is 2456133831083. The reversal of 2456133830964 is 4690383316542.

2456133830964 is a `hidden beast` number, since 245 + 6 + 1 + 3 + 38 + 309 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2456133830964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456133830963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3101178684 + ... + 3101179475.

It is an arithmetic number, because the mean of its divisors is an integer number (188138197520).

Almost surely, 2^{2456133830964} is an apocalyptic number.

It is an amenable number.

2456133830964 is an abundant number, since it is smaller than the sum of its proper divisors (4316841279756).

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

2456133830964 is a wasteful number, since it uses less digits than its factorization.

2456133830964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202358180 (or 6202358175 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 2456133830964 in words is "two trillion, four hundred fifty-six billion, one hundred thirty-three million, eight hundred thirty thousand, nine hundred sixty-four".