98982164736 has 864 divisors, whose sum is σ = 368650999808. Its totient is φ = 24843386880.

The previous prime is 98982164707. The next prime is 98982164741. The reversal of 98982164736 is 63746128989.

98982164736 is a `hidden beast` number, since 9 + 89 + 82 + 1 + 6 + 473 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 630459570 + ... + 630459726.

Almost surely, 2^98982164736 is an apocalyptic number.

98982164736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98982164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184325499904).

98982164736 is an abundant number, since it is smaller than the sum of its proper divisors (269668835072).

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

98982164736 is a wasteful number, since it uses less digits than its factorization.

98982164736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 98982164736 in words is "ninety-eight billion, nine hundred eighty-two million, one hundred sixty-four thousand, seven hundred thirty-six".