1117479343680 has 560 divisors, whose sum is σ = 4810182765696. Its totient is φ = 240398254080.

The previous prime is 1117479343649. The next prime is 1117479343727. The reversal of 1117479343680 is 863439747111.

1117479343680 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 47 + 93 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

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 79 ways as a sum of consecutive naturals, for example, 2903335 + ... + 3265625.

Almost surely, 2^{1117479343680} is an apocalyptic number.

1117479343680 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 1117479343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405091382848).

1117479343680 is an abundant number, since it is smaller than the sum of its proper divisors (3692703422016).

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

1117479343680 is a wasteful number, since it uses less digits than its factorization.

1117479343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362344 (or 362325 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1117479343680 in words is "one trillion, one hundred seventeen billion, four hundred seventy-nine million, three hundred forty-three thousand, six hundred eighty".