98801007456 has 384 divisors, whose sum is σ = 298635724800. Its totient is φ = 28408872960.

The previous prime is 98801007451. The next prime is 98801007479. The reversal of 98801007456 is 65470010889.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98801007451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129830116 + ... + 129830876.

It is an arithmetic number, because the mean of its divisors is an integer number (777697200).

Almost surely, 2^98801007456 is an apocalyptic number.

98801007456 is a gapful number since it is divisible by the number (96) 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 98801007456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149317862400).

98801007456 is an abundant number, since it is smaller than the sum of its proper divisors (199834717344).

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

98801007456 is a wasteful number, since it uses less digits than its factorization.

98801007456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 98801007456 in words is "ninety-eight billion, eight hundred one million, seven thousand, four hundred fifty-six".