98411002933824 has 483 divisors, whose sum is σ = 340751235760707. Its totient is φ = 28117429409664.

The previous prime is 98411002933801. The next prime is 98411002933853. The reversal of 98411002933824 is 42833920011489.

The square root of 98411002933824 is 9920232.

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

98411002933824 is a `hidden beast` number, since 98 + 411 + 0 + 0 + 2 + 93 + 38 + 24 = 666.

It is a super-2 number, since 2×98411002933824² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 68 ways as a sum of consecutive naturals, for example, 14058714704829 + ... + 14058714704835.

Almost surely, 2^{98411002933824} is an apocalyptic number.

98411002933824 is the 9920232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98411002933824

98411002933824 is an abundant number, since it is smaller than the sum of its proper divisors (242340232826883).

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

98411002933824 is an frugal number, since it uses more digits than its factorization.

98411002933824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 98411002933824 in words is "ninety-eight trillion, four hundred eleven billion, two million, nine hundred thirty-three thousand, eight hundred twenty-four".