1114706689920 has 1024 divisors, whose sum is σ = 4358458368000. Its totient is φ = 268021923840.

The previous prime is 1114706689913. The next prime is 1114706689963. The reversal of 1114706689920 is 299866074111.

1114706689920 is a `hidden beast` number, since 1 + 1 + 1 + 470 + 6 + 6 + 89 + 92 + 0 = 666.

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

It is a congruent 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 127 ways as a sum of consecutive naturals, for example, 992614479 + ... + 992615601.

It is an arithmetic number, because the mean of its divisors is an integer number (4256307000).

Almost surely, 2^{1114706689920} is an apocalyptic number.

1114706689920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114706689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179229184000).

1114706689920 is an abundant number, since it is smaller than the sum of its proper divisors (3243751678080).

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

1114706689920 is a wasteful number, since it uses less digits than its factorization.

1114706689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1114706689920 in words is "one trillion, one hundred fourteen billion, seven hundred six million, six hundred eighty-nine thousand, nine hundred twenty".