18960188416 has 99 divisors (see below), whose sum is σ = 41166027693. Its totient is φ = 8724418560.

The previous prime is 18960188413. The next prime is 18960188479. The reversal of 18960188416 is 61488106981.

The square root of 18960188416 is 137696.

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

It can be written as a sum of positive squares in only one way, i.e., 2804761600 + 16155426816 = 52960^2 + 127104^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18960188413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57281371 + ... + 57281701.

Almost surely, 2^18960188416 is an apocalyptic number.

18960188416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18960188416 is the 137696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18960188416

18960188416 is an abundant number, since it is smaller than the sum of its proper divisors (22205839277).

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

18960188416 is an frugal number, since it uses more digits than its factorization.

18960188416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 52.

The spelling of 18960188416 in words is "eighteen billion, nine hundred sixty million, one hundred eighty-eight thousand, four hundred sixteen".