98161400064 has 288 divisors, whose sum is σ = 327620692224. Its totient is φ = 25399296000.

The previous prime is 98161400023. The next prime is 98161400083. The reversal of 98161400064 is 46000416189.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 98161399995 and 98161400031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3690814 + ... + 3717314.

It is an arithmetic number, because the mean of its divisors is an integer number (1137571848).

Almost surely, 2^98161400064 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 98161400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163810346112).

98161400064 is an abundant number, since it is smaller than the sum of its proper divisors (229459292160).

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

98161400064 is a wasteful number, since it uses less digits than its factorization.

98161400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26593 (or 26579 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 98161400064 in words is "ninety-eight billion, one hundred sixty-one million, four hundred thousand, sixty-four".