1113650977824 has 720 divisors, whose sum is σ = 4299781812480. Its totient is φ = 279275351040.

The previous prime is 1113650977823. The next prime is 1113650977837. The reversal of 1113650977824 is 4287790563111.

1113650977824 is a `hidden beast` number, since 1 + 11 + 36 + 509 + 7 + 78 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1113650977823) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40501809 + ... + 40529295.

It is an arithmetic number, because the mean of its divisors is an integer number (5971919184).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1113650977824 = 2227301955648, but 3⋅1113650977824 = 3340952933472 is not.

Almost surely, 2^{1113650977824} is an apocalyptic number.

1113650977824 is a gapful number since it is divisible by the number (14) 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 1113650977824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149890906240).

1113650977824 is an abundant number, since it is smaller than the sum of its proper divisors (3186130834656).

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

1113650977824 is a wasteful number, since it uses less digits than its factorization.

1113650977824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27563 (or 27539 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1113650977824 in words is "one trillion, one hundred thirteen billion, six hundred fifty million, nine hundred seventy-seven thousand, eight hundred twenty-four".