345261645764 has 144 divisors (see below), whose sum is σ = 738059857920. Its totient is φ = 140732665920.

The previous prime is 345261645763. The next prime is 345261645787. The reversal of 345261645764 is 467546162543.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (345261645763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261759497 + ... + 261760815.

It is an arithmetic number, because the mean of its divisors is an integer number (5125415680).

Almost surely, 2^345261645764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345261645764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369029928960).

345261645764 is an abundant number, since it is smaller than the sum of its proper divisors (392798212156).

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

345261645764 is a wasteful number, since it uses less digits than its factorization.

345261645764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2069 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 53.

The spelling of 345261645764 in words is "three hundred forty-five billion, two hundred sixty-one million, six hundred forty-five thousand, seven hundred sixty-four".