989100464352 has 768 divisors, whose sum is σ = 3810386313216. Its totient is φ = 215986176000.

The previous prime is 989100464179. The next prime is 989100464353. The reversal of 989100464352 is 253464001989.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 989100464295 and 989100464304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989100464353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50632827 + ... + 50652357.

It is an arithmetic number, because the mean of its divisors is an integer number (4961440512).

Almost surely, 2^989100464352 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 989100464352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905193156608).

989100464352 is an abundant number, since it is smaller than the sum of its proper divisors (2821285848864).

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

989100464352 is a wasteful number, since it uses less digits than its factorization.

989100464352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19623 (or 19615 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 989100464352 in words is "nine hundred eighty-nine billion, one hundred million, four hundred sixty-four thousand, three hundred fifty-two".