345899139264 has 896 divisors, whose sum is σ = 1312463923200. Its totient is φ = 88038752256.

The previous prime is 345899139259. The next prime is 345899139337. The reversal of 345899139264 is 462931998543.

345899139264 is a `hidden beast` number, since 3 + 458 + 9 + 91 + 3 + 92 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 316467102 + ... + 316468194.

Almost surely, 2^345899139264 is an apocalyptic number.

345899139264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345899139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656231961600).

345899139264 is an abundant number, since it is smaller than the sum of its proper divisors (966564783936).

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

345899139264 is a wasteful number, since it uses less digits than its factorization.

345899139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1141 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 345899139264 in words is "three hundred forty-five billion, eight hundred ninety-nine million, one hundred thirty-nine thousand, two hundred sixty-four".