345705055961472 has 128 divisors (see below), whose sum is σ = 1034680625971200. Its totient is φ = 113611990141440.

The previous prime is 345705055961423. The next prime is 345705055961491. The reversal of 345705055961472 is 274169550507543.

345705055961472 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 0 + 5 + 0 + 5 + 5 + 9 + 614 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704194048 + ... + 704684799.

It is an arithmetic number, because the mean of its divisors is an integer number (8083442390400).

Almost surely, 2^{345705055961472} is an apocalyptic number.

345705055961472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345705055961472 is an abundant number, since it is smaller than the sum of its proper divisors (688975570009728).

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

345705055961472 is a wasteful number, since it uses less digits than its factorization.

345705055961472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408878941 (or 1408878923 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 63.

The spelling of 345705055961472 in words is "three hundred forty-five trillion, seven hundred five billion, fifty-five million, nine hundred sixty-one thousand, four hundred seventy-two".