193855745464900 has 72 divisors (see below), whose sum is σ = 442548534456000. Its totient is φ = 73599469399680.

The previous prime is 193855745464889. The next prime is 193855745464943. The reversal of 193855745464900 is 9464547558391.

It is a self number, because there is not a number n which added to its sum of digits gives 193855745464900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566327280 + ... + 566669479.

It is an arithmetic number, because the mean of its divisors is an integer number (6146507423000).

Almost surely, 2^{193855745464900} is an apocalyptic number.

193855745464900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193855745464900 is an abundant number, since it is smaller than the sum of its proper divisors (248692788991100).

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

193855745464900 is a wasteful number, since it uses less digits than its factorization.

193855745464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132996861 (or 1132996854 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 70.

The spelling of 193855745464900 in words is "one hundred ninety-three trillion, eight hundred fifty-five billion, seven hundred forty-five million, four hundred sixty-four thousand, nine hundred".