1115105623128 has 80 divisors (see below), whose sum is σ = 3569518014480. Its totient is φ = 318601605312.

The previous prime is 1115105623127. The next prime is 1115105623171. The reversal of 1115105623128 is 8213265015111.

1115105623128 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 1 + 0 + 5 + 623 + 1 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1115105623092 and 1115105623101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115105623127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122912751 + ... + 122921822.

It is an arithmetic number, because the mean of its divisors is an integer number (44618975181).

Almost surely, 2^{1115105623128} is an apocalyptic number.

1115105623128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1115105623128 is an abundant number, since it is smaller than the sum of its proper divisors (2454412391352).

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

1115105623128 is a wasteful number, since it uses less digits than its factorization.

1115105623128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245834598 (or 245834585 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 1115105623128 in words is "one trillion, one hundred fifteen billion, one hundred five million, six hundred twenty-three thousand, one hundred twenty-eight".