345152454504 has 288 divisors, whose sum is σ = 1062484970400. Its totient is φ = 93213120000.

The previous prime is 345152454487. The next prime is 345152454541. The reversal of 345152454504 is 405454251543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14220379 + ... + 14244629.

It is an arithmetic number, because the mean of its divisors is an integer number (3689183925).

Almost surely, 2^345152454504 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 345152454504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531242485200).

345152454504 is an abundant number, since it is smaller than the sum of its proper divisors (717332515896).

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

345152454504 is a wasteful number, since it uses less digits than its factorization.

345152454504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24337 (or 24309 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 345152454504 in words is "three hundred forty-five billion, one hundred fifty-two million, four hundred fifty-four thousand, five hundred four".