98932693440 has 336 divisors, whose sum is σ = 367537118112. Its totient is φ = 22480625664.

The previous prime is 98932693439. The next prime is 98932693441. The reversal of 98932693440 is 4439623989.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98932693439) and next prime (98932693441).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98932693441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8131842 + ... + 8143998.

Almost surely, 2^98932693440 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 98932693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183768559056).

98932693440 is an abundant number, since it is smaller than the sum of its proper divisors (268604424672).

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

98932693440 is a wasteful number, since it uses less digits than its factorization.

98932693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12364 (or 12347 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 98932693440 in words is "ninety-eight billion, nine hundred thirty-two million, six hundred ninety-three thousand, four hundred forty".