1117314000 has 720 divisors, whose sum is σ = 4682408640. Its totient is φ = 256608000.

The previous prime is 1117313969. The next prime is 1117314013. The reversal of 1117314000 is 4137111.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58805991 + ... + 58806009.

Almost surely, 2^1117314000 is an apocalyptic number.

1117314000 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 1117314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341204320).

1117314000 is an abundant number, since it is smaller than the sum of its proper divisors (3565094640).

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

1117314000 is a wasteful number, since it uses less digits than its factorization.

1117314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1117314000 is about 33426.2471719456. The cubic root of 1117314000 is about 1037.6679749318.

The spelling of 1117314000 in words is "one billion, one hundred seventeen million, three hundred fourteen thousand".