18955922745600 has 405 divisors, whose sum is σ = 70100275899577. Its totient is φ = 5054076794880.

The previous prime is 18955922745589. The next prime is 18955922745629. The reversal of 18955922745600 is 654722955981.

The square root of 18955922745600 is 4353840.

It is a perfect power (a square), and thus also a powerful number.

18955922745600 is a `hidden beast` number, since 1 + 8 + 9 + 559 + 2 + 2 + 74 + 5 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6824132188416 + 12131790557184 = 2612304^2 + 3483072^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3134761777 + ... + 3134767823.

Almost surely, 2^{18955922745600} is an apocalyptic number.

18955922745600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18955922745600 is the 4353840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18955922745600

18955922745600 is an abundant number, since it is smaller than the sum of its proper divisors (51144353153977).

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

18955922745600 is an frugal number, since it uses more digits than its factorization.

18955922745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12132 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 18955922745600 in words is "eighteen trillion, nine hundred fifty-five billion, nine hundred twenty-two million, seven hundred forty-five thousand, six hundred".