98456601600 has 2376 divisors, whose sum is σ = 473978100960. Its totient is φ = 20065812480.

The previous prime is 98456601577. The next prime is 98456601611. The reversal of 98456601600 is 610665489.

98456601600 is a `hidden beast` number, since 9 + 84 + 566 + 0 + 1 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×98456601600² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5181926391 + ... + 5181926409.

Almost surely, 2^98456601600 is an apocalyptic number.

98456601600 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 98456601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236989050480).

98456601600 is an abundant number, since it is smaller than the sum of its proper divisors (375521499360).

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

98456601600 is a wasteful number, since it uses less digits than its factorization.

98456601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 98456601600 in words is "ninety-eight billion, four hundred fifty-six million, six hundred one thousand, six hundred".