98408149868160 has 384 divisors, whose sum is σ = 382666303019520. Its totient is φ = 23086955520000.

The previous prime is 98408149868153. The next prime is 98408149868201. The reversal of 98408149868160 is 6186894180489.

98408149868160 is a `hidden beast` number, since 9 + 8 + 40 + 81 + 498 + 6 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23086791 + ... + 27015110.

It is an arithmetic number, because the mean of its divisors is an integer number (996526830780).

Almost surely, 2^{98408149868160} is an apocalyptic number.

98408149868160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98408149868160 is an abundant number, since it is smaller than the sum of its proper divisors (284258153151360).

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

98408149868160 is a wasteful number, since it uses less digits than its factorization.

98408149868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50101968 (or 50101953 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 98408149868160 in words is "ninety-eight trillion, four hundred eight billion, one hundred forty-nine million, eight hundred sixty-eight thousand, one hundred sixty".