116117016001254 has 384 divisors, whose sum is σ = 280096914988800. Its totient is φ = 34637648855040.

The previous prime is 116117016001253. The next prime is 116117016001291. The reversal of 116117016001254 is 452100610711611.

116117016001254 is a `hidden beast` number, since 1 + 1 + 611 + 7 + 0 + 16 + 0 + 0 + 1 + 25 + 4 = 666.

It is a super-2 number, since 2×116117016001254² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116117016001253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48604861092 + ... + 48604863480.

It is an arithmetic number, because the mean of its divisors is an integer number (729419049450).

Almost surely, 2^{116117016001254} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116117016001254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140048457494400).

116117016001254 is an abundant number, since it is smaller than the sum of its proper divisors (163979898987546).

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

116117016001254 is a wasteful number, since it uses less digits than its factorization.

116117016001254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Adding to 116117016001254 its reverse (452100610711611), we get a palindrome (568217626712865).

The spelling of 116117016001254 in words is "one hundred sixteen trillion, one hundred seventeen billion, sixteen million, one thousand, two hundred fifty-four".