98400489264 has 480 divisors, whose sum is σ = 351389795328. Its totient is φ = 25174195200.

The previous prime is 98400489233. The next prime is 98400489349. The reversal of 98400489264 is 46298400489.

98400489264 is a `hidden beast` number, since 98 + 400 + 4 + 8 + 92 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 98400489264.

It is a congruent number.

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, 95256492 + ... + 95257524.

Almost surely, 2^98400489264 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 98400489264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175694897664).

98400489264 is an abundant number, since it is smaller than the sum of its proper divisors (252989306064).

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

98400489264 is a wasteful number, since it uses less digits than its factorization.

98400489264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 98400489264 in words is "ninety-eight billion, four hundred million, four hundred eighty-nine thousand, two hundred sixty-four".