1113847653600 has 864 divisors, whose sum is σ = 4516837153920. Its totient is φ = 265565952000.

The previous prime is 1113847653599. The next prime is 1113847653631. The reversal of 1113847653600 is 63567483111.

1113847653600 is a `hidden beast` number, since 1 + 1 + 1 + 38 + 4 + 7 + 6 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130438131 + ... + 130446669.

It is an arithmetic number, because the mean of its divisors is an integer number (5227820780).

Almost surely, 2^{1113847653600} is an apocalyptic number.

1113847653600 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 1113847653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258418576960).

1113847653600 is an abundant number, since it is smaller than the sum of its proper divisors (3402989500320).

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

1113847653600 is a wasteful number, since it uses less digits than its factorization.

1113847653600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8646 (or 8621 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1113847653600 in words is "one trillion, one hundred thirteen billion, eight hundred forty-seven million, six hundred fifty-three thousand, six hundred".