98133938501952 has 224 divisors, whose sum is σ = 265273403351040. Its totient is φ = 32009715855360.

The previous prime is 98133938501873. The next prime is 98133938501983. The reversal of 98133938501952 is 25910583933189.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3060643873 + ... + 3060675935.

It is an arithmetic number, because the mean of its divisors is an integer number (1184256264960).

Almost surely, 2^{98133938501952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98133938501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132636701675520).

98133938501952 is an abundant number, since it is smaller than the sum of its proper divisors (167139464849088).

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

98133938501952 is a wasteful number, since it uses less digits than its factorization.

98133938501952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33861 (or 33851 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 66.

The spelling of 98133938501952 in words is "ninety-eight trillion, one hundred thirty-three billion, nine hundred thirty-eight million, five hundred one thousand, nine hundred fifty-two".