345621052101600 has 216 divisors, whose sum is σ = 1329541347548232. Its totient is φ = 83786921702400.

The previous prime is 345621052101553. The next prime is 345621052101613. The reversal of 345621052101600 is 6101250126543.

345621052101600 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 21 + 0 + 5 + 21 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2181871887 + ... + 2182030286.

It is an arithmetic number, because the mean of its divisors is an integer number (6155284016427).

Almost surely, 2^{345621052101600} is an apocalyptic number.

345621052101600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345621052101600 is an abundant number, since it is smaller than the sum of its proper divisors (983920295446632).

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

345621052101600 is a wasteful number, since it uses less digits than its factorization.

345621052101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363902210 (or 4363902194 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 345621052101600 in words is "three hundred forty-five trillion, six hundred twenty-one billion, fifty-two million, one hundred one thousand, six hundred".