98294926464 has 512 divisors, whose sum is σ = 340526592000. Its totient is φ = 27335024640.

The previous prime is 98294926459. The next prime is 98294926481. The reversal of 98294926464 is 46462949289.

98294926464 is a `hidden beast` number, since 9 + 8 + 29 + 492 + 64 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152868927 + ... + 152869569.

It is an arithmetic number, because the mean of its divisors is an integer number (665091000).

Almost surely, 2^98294926464 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 98294926464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170263296000).

98294926464 is an abundant number, since it is smaller than the sum of its proper divisors (242231665536).

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

98294926464 is a wasteful number, since it uses less digits than its factorization.

98294926464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 815 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 98294926464 in words is "ninety-eight billion, two hundred ninety-four million, nine hundred twenty-six thousand, four hundred sixty-four".