98038217152512 has 2880 divisors, whose sum is σ = 384778559692800. Its totient is φ = 23834097745920.

The previous prime is 98038217152511. The next prime is 98038217152523. The reversal of 98038217152512 is 21525171283089.

98038217152512 is a `hidden beast` number, since 9 + 8 + 0 + 3 + 8 + 2 + 1 + 71 + 52 + 512 = 666.

It is a super-2 number, since 2×98038217152512² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98038217152511) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 410201745289 + ... + 410201745527.

It is an arithmetic number, because the mean of its divisors is an integer number (133603666560).

Almost surely, 2^{98038217152512} is an apocalyptic number.

98038217152512 is a gapful number since it is divisible by the number (92) 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 98038217152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192389279846400).

98038217152512 is an abundant number, since it is smaller than the sum of its proper divisors (286740342540288).

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

98038217152512 is a wasteful number, since it uses less digits than its factorization.

98038217152512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 98038217152512 in words is "ninety-eight trillion, thirty-eight billion, two hundred seventeen million, one hundred fifty-two thousand, five hundred twelve".