1114510813920 has 576 divisors, whose sum is σ = 4437431631360. Its totient is φ = 249466466304.

The previous prime is 1114510813883. The next prime is 1114510813943. The reversal of 1114510813920 is 293180154111.

1114510813920 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 510 + 8 + 139 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116832511 + ... + 116842049.

It is an arithmetic number, because the mean of its divisors is an integer number (7703874360).

Almost surely, 2^{1114510813920} is an apocalyptic number.

1114510813920 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 1114510813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218715815680).

1114510813920 is an abundant number, since it is smaller than the sum of its proper divisors (3322920817440).

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

1114510813920 is a wasteful number, since it uses less digits than its factorization.

1114510813920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9807 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 1114510813920 in words is "one trillion, one hundred fourteen billion, five hundred ten million, eight hundred thirteen thousand, nine hundred twenty".