345859809152 has 128 divisors (see below), whose sum is σ = 857092168800. Its totient is φ = 136579645440.

The previous prime is 345859809151. The next prime is 345859809173. The reversal of 345859809152 is 251908958543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 345859809091 and 345859809100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345859809151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244577 + ... + 866912.

Almost surely, 2^345859809152 is an apocalyptic number.

345859809152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345859809152 is an abundant number, since it is smaller than the sum of its proper divisors (511232359648).

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

345859809152 is a wasteful number, since it uses less digits than its factorization.

345859809152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111544 (or 1111532 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 59.

The spelling of 345859809152 in words is "three hundred forty-five billion, eight hundred fifty-nine million, eight hundred nine thousand, one hundred fifty-two".