18989514428416 has 351 divisors, whose sum is σ = 45134662418517. Its totient is φ = 7965171056640.

The previous prime is 18989514428413. The next prime is 18989514428537. The reversal of 18989514428416 is 61482441598981.

The square root of 18989514428416 is 4357696.

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., 11154531225600 + 7834983202816 = 3339840^2 + 2799104^2 .

It is not an unprimeable number, because it can be changed into a prime (18989514428413) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138609594300 + ... + 138609594436.

Almost surely, 2^{18989514428416} is an apocalyptic number.

18989514428416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18989514428416 is the 4357696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18989514428416

18989514428416 is an abundant number, since it is smaller than the sum of its proper divisors (26145147990101).

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

18989514428416 is an frugal number, since it uses more digits than its factorization.

18989514428416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 217 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 70.

The spelling of 18989514428416 in words is "eighteen trillion, nine hundred eighty-nine billion, five hundred fourteen million, four hundred twenty-eight thousand, four hundred sixteen".