2117366165376 has 512 divisors, whose sum is σ = 7862760576000. Its totient is φ = 544912220160.

The previous prime is 2117366165353. The next prime is 2117366165399. The reversal of 2117366165376 is 6735616637112.

2117366165376 is a `hidden beast` number, since 2 + 1 + 17 + 3 + 6 + 616 + 5 + 3 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2117366165353) and next prime (2117366165399).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28969710 + ... + 29042706.

It is an arithmetic number, because the mean of its divisors is an integer number (15356954250).

Almost surely, 2^{2117366165376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117366165376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931380288000).

2117366165376 is an abundant number, since it is smaller than the sum of its proper divisors (5745394410624).

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

2117366165376 is a wasteful number, since it uses less digits than its factorization.

2117366165376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73147 (or 73129 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 2117366165376 in words is "two trillion, one hundred seventeen billion, three hundred sixty-six million, one hundred sixty-five thousand, three hundred seventy-six".