98723826432 has 1080 divisors, whose sum is σ = 381815823312. Its totient is φ = 25291284480.

The previous prime is 98723826413. The next prime is 98723826451. The reversal of 98723826432 is 23462832789.

98723826432 is a `hidden beast` number, since 98 + 72 + 38 + 26 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (98723826413) and next prime (98723826451).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (6967296) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1352381148 + ... + 1352381220.

Almost surely, 2^98723826432 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 98723826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190907911656).

98723826432 is an abundant number, since it is smaller than the sum of its proper divisors (283091996880).

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

98723826432 is an equidigital number, since it uses as much as digits as its factorization.

98723826432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 96 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 98723826432 in words is "ninety-eight billion, seven hundred twenty-three million, eight hundred twenty-six thousand, four hundred thirty-two".