345662601361200 has 180 divisors, whose sum is σ = 1200850527906640. Its totient is φ = 92076391733760.

The previous prime is 345662601361157. The next prime is 345662601361229. The reversal of 345662601361200 is 2163106266543.

345662601361200 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 6 + 2 + 601 + 36 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48931747 + ... + 55548546.

Almost surely, 2^{345662601361200} is an apocalyptic number.

345662601361200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345662601361200 is an abundant number, since it is smaller than the sum of its proper divisors (855187926545440).

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

345662601361200 is a wasteful number, since it uses less digits than its factorization.

345662601361200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104481236 (or 104481222 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 345662601361200 in words is "three hundred forty-five trillion, six hundred sixty-two billion, six hundred one million, three hundred sixty-one thousand, two hundred".