1217117664 has 360 divisors, whose sum is σ = 4290224400. Its totient is φ = 338349312.

The previous prime is 1217117641. The next prime is 1217117683. The reversal of 1217117664 is 4667117121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (14112) is a multiple of the sum of its prime divisors (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32895054 + ... + 32895090.

It is an arithmetic number, because the mean of its divisors is an integer number (11917290).

Almost surely, 2^1217117664 is an apocalyptic number.

1217117664 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 1217117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145112200).

1217117664 is an abundant number, since it is smaller than the sum of its proper divisors (3073106736).

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

1217117664 is an frugal number, since it uses more digits than its factorization.

1217117664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 49 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 1217117664 is about 34887.2134742802. The cubic root of 1217117664 is about 1067.6875743127.

The spelling of 1217117664 in words is "one billion, two hundred seventeen million, one hundred seventeen thousand, six hundred sixty-four".