99278882944416 has 1920 divisors, whose sum is σ = 375886973468160. Its totient is φ = 25048822579200.

The previous prime is 99278882944403. The next prime is 99278882944429. The reversal of 99278882944416 is 61444928887299.

99278882944416 is a `hidden beast` number, since 9 + 9 + 2 + 7 + 8 + 8 + 82 + 94 + 441 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (99278882944403) and next prime (99278882944429).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 154399506591 + ... + 154399507233.

It is an arithmetic number, because the mean of its divisors is an integer number (195774465348).

Almost surely, 2^{99278882944416} is an apocalyptic number.

99278882944416 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 99278882944416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187943486734080).

99278882944416 is an abundant number, since it is smaller than the sum of its proper divisors (276608090523744).

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

99278882944416 is a wasteful number, since it uses less digits than its factorization.

99278882944416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1163 counting only the distinct ones).

The product of its digits is 4013162496, while the sum is 81.

The spelling of 99278882944416 in words is "ninety-nine trillion, two hundred seventy-eight billion, eight hundred eighty-two million, nine hundred forty-four thousand, four hundred sixteen".