99381465831168 has 720 divisors, whose sum is σ = 320143739864256. Its totient is φ = 30549031649280.

The previous prime is 99381465831103. The next prime is 99381465831191. The reversal of 99381465831168 is 86113856418399.

99381465831168 is a `hidden beast` number, since 9 + 9 + 3 + 81 + 465 + 83 + 1 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×99381465831168² (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 a junction number, because it is equal to n+sod(n) for n = 99381465831096 and 99381465831105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5655341230 + ... + 5655358802.

Almost surely, 2^{99381465831168} 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 99381465831168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160071869932128).

99381465831168 is an abundant number, since it is smaller than the sum of its proper divisors (220762274033088).

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

99381465831168 is a wasteful number, since it uses less digits than its factorization.

99381465831168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17942 (or 17919 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The spelling of 99381465831168 in words is "ninety-nine trillion, three hundred eighty-one billion, four hundred sixty-five million, eight hundred thirty-one thousand, one hundred sixty-eight".