98681937816000 has 896 divisors, whose sum is σ = 406376815822848. Its totient is φ = 20499025920000.

The previous prime is 98681937815987. The next prime is 98681937816019. The reversal of 98681937816000 is 61873918689.

It is a super-2 number, since 2×98681937816000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8236530010 + ... + 8236541990.

Almost surely, 2^{98681937816000} 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 98681937816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203188407911424).

98681937816000 is an abundant number, since it is smaller than the sum of its proper divisors (307694878006848).

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

98681937816000 is a wasteful number, since it uses less digits than its factorization.

98681937816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16486 (or 16466 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 66.

The spelling of 98681937816000 in words is "ninety-eight trillion, six hundred eighty-one billion, nine hundred thirty-seven million, eight hundred sixteen thousand".