98871521749056 has 945 divisors, whose sum is σ = 346005096807447. Its totient is φ = 27835201013760.

The previous prime is 98871521749051. The next prime is 98871521749061. The reversal of 98871521749056 is 65094712517889.

It is a happy number.

The square root of 98871521749056 is 9943416.

It is a perfect power (a square), and thus also a powerful number.

98871521749056 is a `hidden beast` number, since 9 + 8 + 8 + 7 + 1 + 521 + 7 + 4 + 90 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (98871521749051) and next prime (98871521749061).

It can be written as a sum of positive squares in 4 ways, for example, as 20901208942656 + 77970312806400 = 4571784^2 + 8830080^2 .

It is a super-2 number, since 2×98871521749056² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (98871521749051) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 546251501286 + ... + 546251501466.

Almost surely, 2^{98871521749056} is an apocalyptic number.

98871521749056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

98871521749056 is the 9943416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98871521749056

98871521749056 is an abundant number, since it is smaller than the sum of its proper divisors (247133575058391).

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

98871521749056 is an equidigital number, since it uses as much as digits as its factorization.

98871521749056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 72.

The spelling of 98871521749056 in words is "ninety-eight trillion, eight hundred seventy-one billion, five hundred twenty-one million, seven hundred forty-nine thousand, fifty-six".