111869459770896 has 225 divisors, whose sum is σ = 328021268772351. Its totient is φ = 36807896968128.

The previous prime is 111869459770883. The next prime is 111869459770979. The reversal of 111869459770896 is 698077954968111.

The square root of 111869459770896 is 10576836.

It is a perfect power (a square), and thus also a powerful number.

111869459770896 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 6 + 9 + 459 + 7 + 70 + 8 + 96 = 666.

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

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 44 ways as a sum of consecutive naturals, for example, 30080519725 + ... + 30080523443.

Almost surely, 2^{111869459770896} is an apocalyptic number.

111869459770896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

111869459770896 is the 10576836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111869459770896

111869459770896 is an abundant number, since it is smaller than the sum of its proper divisors (216151809001455).

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

111869459770896 is an frugal number, since it uses more digits than its factorization.

111869459770896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 81.

111869459770896 divided by its sum of digits (81) gives a square (1381104441616 = 1175204²).

The spelling of 111869459770896 in words is "one hundred eleven trillion, eight hundred sixty-nine billion, four hundred fifty-nine million, seven hundred seventy thousand, eight hundred ninety-six".