98974149120 has 960 divisors, whose sum is σ = 436816613376. Its totient is φ = 20111523840.

The previous prime is 98974149119. The next prime is 98974149137. The reversal of 98974149120 is 2194147989.

98974149120 is a `hidden beast` number, since 9 + 8 + 97 + 41 + 491 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83381167 + ... + 83382353.

Almost surely, 2^98974149120 is an apocalyptic number.

98974149120 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 98974149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218408306688).

98974149120 is an abundant number, since it is smaller than the sum of its proper divisors (337842464256).

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

98974149120 is a wasteful number, since it uses less digits than its factorization.

98974149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 98974149120 in words is "ninety-eight billion, nine hundred seventy-four million, one hundred forty-nine thousand, one hundred twenty".