1106116475625 has 640 divisors, whose sum is σ = 2519193600000. Its totient is φ = 478820160000.

The previous prime is 1106116475591. The next prime is 1106116475669. The reversal of 1106116475625 is 5265746116011.

1106116475625 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 1 + 16 + 4 + 7 + 5 + 625 = 666.

It is not a de Polignac number, because 1106116475625 - 2¹⁰ = 1106116474601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 14001474336 + ... + 14001474414.

It is an arithmetic number, because the mean of its divisors is an integer number (3936240000).

Almost surely, 2^{1106116475625} is an apocalyptic number.

1106116475625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1106116475625 is an abundant number, since it is smaller than the sum of its proper divisors (1413077124375).

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

1106116475625 is an frugal number, since it uses more digits than its factorization.

1106116475625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1106116475625 in words is "one trillion, one hundred six billion, one hundred sixteen million, four hundred seventy-five thousand, six hundred twenty-five".