98460699111936 has 480 divisors, whose sum is σ = 335541302553600. Its totient is φ = 27199301713920.

The previous prime is 98460699111851. The next prime is 98460699111959. The reversal of 98460699111936 is 63911199606489.

98460699111936 is a `hidden beast` number, since 9 + 8 + 4 + 606 + 9 + 9 + 1 + 1 + 1 + 9 + 3 + 6 = 666.

It is a super-2 number, since 2×98460699111936² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1108884630 + ... + 1108973418.

It is an arithmetic number, because the mean of its divisors is an integer number (699044380320).

Almost surely, 2^{98460699111936} is an apocalyptic number.

98460699111936 is a gapful number since it is divisible by the number (96) 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 98460699111936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167770651276800).

98460699111936 is an abundant number, since it is smaller than the sum of its proper divisors (237080603441664).

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

98460699111936 is a wasteful number, since it uses less digits than its factorization.

98460699111936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89960 (or 89941 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 72.

The spelling of 98460699111936 in words is "ninety-eight trillion, four hundred sixty billion, six hundred ninety-nine million, one hundred eleven thousand, nine hundred thirty-six".