345642247872 has 84 divisors (see below), whose sum is σ = 1016196052440. Its totient is φ = 115205936256.

The previous prime is 345642247843. The next prime is 345642247913. The reversal of 345642247872 is 278742246543.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

345642247872 is a `hidden beast` number, since 3 + 4 + 564 + 2 + 2 + 4 + 7 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24432033 + ... + 24446175.

Almost surely, 2^345642247872 is an apocalyptic number.

345642247872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345642247872 is an abundant number, since it is smaller than the sum of its proper divisors (670553804568).

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

345642247872 is an frugal number, since it uses more digits than its factorization.

345642247872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28307 (or 14148 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 54.

The spelling of 345642247872 in words is "three hundred forty-five billion, six hundred forty-two million, two hundred forty-seven thousand, eight hundred seventy-two".