345866954880 has 512 divisors, whose sum is σ = 1174746240000. Its totient is φ = 86415114240.

The previous prime is 345866954857. The next prime is 345866954897. The reversal of 345866954880 is 88459668543.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268321276 + ... + 268322564.

It is an arithmetic number, because the mean of its divisors is an integer number (2294426250).

Almost surely, 2^345866954880 is an apocalyptic number.

345866954880 is a gapful number since it is divisible by the number (30) 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 345866954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587373120000).

345866954880 is an abundant number, since it is smaller than the sum of its proper divisors (828879285120).

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

345866954880 is a wasteful number, since it uses less digits than its factorization.

345866954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 66.

The spelling of 345866954880 in words is "three hundred forty-five billion, eight hundred sixty-six million, nine hundred fifty-four thousand, eight hundred eighty".