1345582600056 has 48 divisors (see below), whose sum is σ = 3644515548960. Its totient is φ = 448499306880.

The previous prime is 1345582600051. The next prime is 1345582600057. The reversal of 1345582600056 is 6500062855431.

1345582600056 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 582 + 60 + 0 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1345582599984 and 1345582600020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345582600051) 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, 579996 + ... + 1739988.

It is an arithmetic number, because the mean of its divisors is an integer number (75927407270).

Almost surely, 2^{1345582600056} is an apocalyptic number.

It is a pronic number, being equal to 1159992×1159993.

It is an amenable number.

1345582600056 is an abundant number, since it is smaller than the sum of its proper divisors (2298932948904).

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

1345582600056 is a wasteful number, since it uses less digits than its factorization.

1345582600056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176116 (or 1176109 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 1345582600056 in words is "one trillion, three hundred forty-five billion, five hundred eighty-two million, six hundred thousand, fifty-six".