345627914112 has 1024 divisors, whose sum is σ = 1229405184000. Its totient is φ = 94595973120.

The previous prime is 345627914087. The next prime is 345627914189. The reversal of 345627914112 is 211419726543.

345627914112 is a `hidden beast` number, since 3 + 4 + 5 + 627 + 9 + 1 + 4 + 1 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 979115728 + ... + 979116080.

It is an arithmetic number, because the mean of its divisors is an integer number (1200591000).

Almost surely, 2^345627914112 is an apocalyptic number.

345627914112 is a gapful number since it is divisible by the number (32) 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 345627914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614702592000).

345627914112 is an abundant number, since it is smaller than the sum of its proper divisors (883777269888).

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

345627914112 is a wasteful number, since it uses less digits than its factorization.

345627914112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 458 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 345627914112 in words is "three hundred forty-five billion, six hundred twenty-seven million, nine hundred fourteen thousand, one hundred twelve".