1107116422416 has 45 divisors (see below), whose sum is σ = 3098423657719. Its totient is φ = 369034598688.

The previous prime is 1107116422393. The next prime is 1107116422441. The reversal of 1107116422416 is 6142246117011.

The square root of 1107116422416 is 1052196.

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

1107116422416 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 1 + 1 + 642 + 2 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 12582511 + ... + 12670193.

Almost surely, 2^{1107116422416} is an apocalyptic number.

1107116422416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1107116422416 is the 1052196-th square number.

It is an amenable number.

1107116422416 is an abundant number, since it is smaller than the sum of its proper divisors (1991307235303).

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

1107116422416 is an frugal number, since it uses more digits than its factorization.

1107116422416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175380 (or 87688 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 1107116422416 by its sum of digits (36), we get a square (39856191206976 = 6313176²).

1107116422416 divided by its sum of digits (36) gives a square (30753233956 = 175366²).

The spelling of 1107116422416 in words is "one trillion, one hundred seven billion, one hundred sixteen million, four hundred twenty-two thousand, four hundred sixteen".