1107975180816 has 225 divisors, whose sum is σ = 3731254357149. Its totient is φ = 316488549888.

The previous prime is 1107975180797. The next prime is 1107975180833. The reversal of 1107975180816 is 6180815797011.

The square root of 1107975180816 is 1052604.

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

1107975180816 is a `hidden beast` number, since 1 + 107 + 9 + 7 + 518 + 0 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1023698768400 + 84276412416 = 1011780^2 + 290304^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 265254120 + ... + 265258296.

Almost surely, 2^{1107975180816} is an apocalyptic number.

1107975180816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1107975180816 is the 1052604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107975180816

1107975180816 is an abundant number, since it is smaller than the sum of its proper divisors (2623279176333).

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

1107975180816 is an frugal number, since it uses more digits than its factorization.

1107975180816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 54.

The spelling of 1107975180816 in words is "one trillion, one hundred seven billion, nine hundred seventy-five million, one hundred eighty thousand, eight hundred sixteen".