98190338400 has 1080 divisors, whose sum is σ = 450072287280. Its totient is φ = 20391782400.

The previous prime is 98190338399. The next prime is 98190338509. The reversal of 98190338400 is 483309189.

98190338400 is a `hidden beast` number, since 98 + 190 + 338 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 179 ways as a sum of consecutive naturals, for example, 54884706 + ... + 54886494.

Almost surely, 2^98190338400 is an apocalyptic number.

98190338400 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 98190338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225036143640).

98190338400 is an abundant number, since it is smaller than the sum of its proper divisors (351881948880).

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

98190338400 is a wasteful number, since it uses less digits than its factorization.

98190338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 98190338400 in words is "ninety-eight billion, one hundred ninety million, three hundred thirty-eight thousand, four hundred".