345153316656 has 20 divisors (see below), whose sum is σ = 891646068152. Its totient is φ = 115051105536.

The previous prime is 345153316639. The next prime is 345153316691. The reversal of 345153316656 is 656613351543.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 7190694097 = 345153316656 / (3 + 4 + 5 + 1 + 5 + 3 + 3 + 1 + 6 + 6 + 5 + 6).

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 3 ways as a sum of consecutive naturals, for example, 3595347001 + ... + 3595347096.

Almost surely, 2^345153316656 is an apocalyptic number.

It is an amenable number.

345153316656 is an abundant number, since it is smaller than the sum of its proper divisors (546492751496).

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

345153316656 is a wasteful number, since it uses less digits than its factorization.

345153316656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7190694108 (or 7190694102 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 48.

The spelling of 345153316656 in words is "three hundred forty-five billion, one hundred fifty-three million, three hundred sixteen thousand, six hundred fifty-six".