116145141840 has 1200 divisors, whose sum is σ = 507411273600. Its totient is φ = 24105848832.

The previous prime is 116145141811. The next prime is 116145141841. The reversal of 116145141840 is 48141541611.

116145141840 is a `hidden beast` number, since 1 + 1 + 61 + 4 + 514 + 1 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116145141795 and 116145141804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116145141841) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 835576491 + ... + 835576629.

It is an arithmetic number, because the mean of its divisors is an integer number (422842728).

Almost surely, 2^116145141840 is an apocalyptic number.

116145141840 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 116145141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253705636800).

116145141840 is an abundant number, since it is smaller than the sum of its proper divisors (391266131760).

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

116145141840 is a wasteful number, since it uses less digits than its factorization.

116145141840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 116145141840 in words is "one hundred sixteen billion, one hundred forty-five million, one hundred forty-one thousand, eight hundred forty".