98011572624 has 135 divisors (see below), whose sum is σ = 319164977547. Its totient is φ = 27995792832.

The previous prime is 98011572613. The next prime is 98011572641. The reversal of 98011572624 is 42627511089.

The square root of 98011572624 is 313068.

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

98011572624 is a `hidden beast` number, since 9 + 8 + 0 + 1 + 15 + 7 + 2 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 98011572624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26295849 + ... + 26299575.

Almost surely, 2^98011572624 is an apocalyptic number.

98011572624 is the 313068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98011572624

98011572624 is an abundant number, since it is smaller than the sum of its proper divisors (221153404923).

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

98011572624 is an equidigital number, since it uses as much as digits as its factorization.

98011572624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 980 and 11572624, that added together give a square (11573604 = 3402²).

The spelling of 98011572624 in words is "ninety-eight billion, eleven million, five hundred seventy-two thousand, six hundred twenty-four".