345647400677460 has 72 divisors (see below), whose sum is σ = 1198244322352896. Its totient is φ = 79005120154560.

The previous prime is 345647400677437. The next prime is 345647400677479. The reversal of 345647400677460 is 64776004746543.

345647400677460 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 47 + 400 + 67 + 74 + 60 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137161665676 + ... + 137161668195.

Almost surely, 2^{345647400677460} is an apocalyptic number.

345647400677460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345647400677460 is an abundant number, since it is smaller than the sum of its proper divisors (852596921675436).

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

345647400677460 is a wasteful number, since it uses less digits than its factorization.

345647400677460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274323333893 (or 274323333888 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 63.

The spelling of 345647400677460 in words is "three hundred forty-five trillion, six hundred forty-seven billion, four hundred million, six hundred seventy-seven thousand, four hundred sixty".