116667696673440 has 2304 divisors, whose sum is σ = 475824819585024. Its totient is φ = 26737695129600.

The previous prime is 116667696673397. The next prime is 116667696673477. The reversal of 116667696673440 is 44376696766611.

It is a super-2 number, since 2×116667696673440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 106740801534 + ... + 106740802626.

It is an arithmetic number, because the mean of its divisors is an integer number (206521189056).

Almost surely, 2^{116667696673440} is an apocalyptic number.

116667696673440 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 116667696673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237912409792512).

116667696673440 is an abundant number, since it is smaller than the sum of its proper divisors (359157122911584).

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

116667696673440 is a wasteful number, since it uses less digits than its factorization.

116667696673440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 72.

The spelling of 116667696673440 in words is "one hundred sixteen trillion, six hundred sixty-seven billion, six hundred ninety-six million, six hundred seventy-three thousand, four hundred forty".