98345572074288 has 4320 divisors, whose sum is σ = 407095304232960. Its totient is φ = 22606959513600.

The previous prime is 98345572074229. The next prime is 98345572074301. The reversal of 98345572074288 is 88247027554389.

98345572074288 is a `hidden beast` number, since 9 + 8 + 3 + 4 + 5 + 572 + 0 + 7 + 42 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1347199617420 + ... + 1347199617492.

It is an arithmetic number, because the mean of its divisors is an integer number (94235024128).

Almost surely, 2^{98345572074288} is an apocalyptic number.

98345572074288 is a gapful number since it is divisible by the number (98) 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 98345572074288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203547652116480).

98345572074288 is an abundant number, since it is smaller than the sum of its proper divisors (308749732158672).

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

98345572074288 is a wasteful number, since it uses less digits than its factorization.

98345572074288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 98345572074288 in words is "ninety-eight trillion, three hundred forty-five billion, five hundred seventy-two million, seventy-four thousand, two hundred eighty-eight".