989166688100352 has 1120 divisors, whose sum is σ = 3091489853405184. Its totient is φ = 314940358656000.

The previous prime is 989166688100347. The next prime is 989166688100363. The reversal of 989166688100352 is 253001886661989.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 223641573213 + ... + 223641577635.

Almost surely, 2^{989166688100352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989166688100352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545744926702592).

989166688100352 is an abundant number, since it is smaller than the sum of its proper divisors (2102323165304832).

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

989166688100352 is a wasteful number, since it uses less digits than its factorization.

989166688100352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 989166688100352 in words is "nine hundred eighty-nine trillion, one hundred sixty-six billion, six hundred eighty-eight million, one hundred thousand, three hundred fifty-two".