116513844156000 has 576 divisors, whose sum is σ = 428062958668800. Its totient is φ = 29978178048000.

The previous prime is 116513844155941. The next prime is 116513844156001. The reversal of 116513844156000 is 651448315611.

116513844156000 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 1 + 3 + 84 + 4 + 1 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116513844156001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1535686066 + ... + 1535761934.

It is an arithmetic number, because the mean of its divisors is an integer number (743164858800).

Almost surely, 2^{116513844156000} is an apocalyptic number.

116513844156000 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 116513844156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214031479334400).

116513844156000 is an abundant number, since it is smaller than the sum of its proper divisors (311549114512800).

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

116513844156000 is a wasteful number, since it uses less digits than its factorization.

116513844156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77400 (or 77379 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 116513844156000 in words is "one hundred sixteen trillion, five hundred thirteen billion, eight hundred forty-four million, one hundred fifty-six thousand".