18902950144 has 81 divisors (see below), whose sum is σ = 40919699079. Its totient is φ = 8711239680.

The previous prime is 18902950127. The next prime is 18902950153. The reversal of 18902950144 is 44105920981.

The square root of 18902950144 is 137488.

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

It can be written as a sum of positive squares in 4 ways, for example, as 109830400 + 18793119744 = 10480^2 + 137088^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18902950144.

It is an unprimeable number.

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, 28597174 + ... + 28597834.

Almost surely, 2^18902950144 is an apocalyptic number.

18902950144 is the 137488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18902950144

18902950144 is an abundant number, since it is smaller than the sum of its proper divisors (22016748935).

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

18902950144 is an frugal number, since it uses more digits than its factorization.

18902950144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 18902950144 in words is "eighteen billion, nine hundred two million, nine hundred fifty thousand, one hundred forty-four".