1989411516225 has 405 divisors, whose sum is σ = 4431051834729. Its totient is φ = 853049232000.

The previous prime is 1989411516193. The next prime is 1989411516259. The reversal of 1989411516225 is 5226151149891.

The square root of 1989411516225 is 1410465.

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

1989411516225 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 4 + 1 + 1 + 5 + 1 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 367334178561 + 1622077337664 = 606081^2 + 1273608^2 .

It is not a de Polignac number, because 1989411516225 - 2⁵ = 1989411516193 is a prime.

Its product of digits (1555200) is a multiple of the sum of its prime divisors (135).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 19697143675 + ... + 19697143775.

Almost surely, 2^{1989411516225} is an apocalyptic number.

1989411516225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1989411516225 is the 1410465-th square number.

1989411516225 is the 705233-rd centered octagonal number.

It is an amenable number.

1989411516225 is an abundant number, since it is smaller than the sum of its proper divisors (2441640318504).

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

1989411516225 is an equidigital number, since it uses as much as digits as its factorization.

1989411516225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 135 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 54.

The spelling of 1989411516225 in words is "one trillion, nine hundred eighty-nine billion, four hundred eleven million, five hundred sixteen thousand, two hundred twenty-five".