98316314460 has 1080 divisors, whose sum is σ = 401777472096. Its totient is φ = 19700029440.

The previous prime is 98316314443. The next prime is 98316314477. The reversal of 98316314460 is 6441361389.

98316314460 is a `hidden beast` number, since 9 + 8 + 3 + 1 + 631 + 4 + 4 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (98316314443) and next prime (98316314477).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1611742830 + ... + 1611742890.

Almost surely, 2^98316314460 is an apocalyptic number.

98316314460 is a gapful number since it is divisible by the number (90) 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 98316314460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200888736048).

98316314460 is an abundant number, since it is smaller than the sum of its proper divisors (303461157636).

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

98316314460 is a wasteful number, since it uses less digits than its factorization.

98316314460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 98316314460 in words is "ninety-eight billion, three hundred sixteen million, three hundred fourteen thousand, four hundred sixty".