116662461760 has 112 divisors (see below), whose sum is σ = 300131079696. Its totient is φ = 42937270272.

The previous prime is 116662461749. The next prime is 116662461763. The reversal of 116662461760 is 67164266611.

It can be written as a sum of positive squares in 8 ways, for example, as 8484620544 + 108177841216 = 92112^2 + 328904^2 .

It is a super-2 number, since 2×116662461760² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116662461760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116662461763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1257282 + ... + 1346878.

It is an arithmetic number, because the mean of its divisors is an integer number (2679741783).

Almost surely, 2^116662461760 is an apocalyptic number.

116662461760 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 116662461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150065539848).

116662461760 is an abundant number, since it is smaller than the sum of its proper divisors (183468617936).

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

116662461760 is a wasteful number, since it uses less digits than its factorization.

116662461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89940 (or 89930 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 116662461760 in words is "one hundred sixteen billion, six hundred sixty-two million, four hundred sixty-one thousand, seven hundred sixty".