78114161160 has 320 divisors, whose sum is σ = 315851817600. Its totient is φ = 16914852864.

The previous prime is 78114161117. The next prime is 78114161161. The reversal of 78114161160 is 6116141187.

78114161160 is a `hidden beast` number, since 7 + 81 + 1 + 416 + 1 + 160 = 666.

It is a super-2 number, since 2×78114161160² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78114161161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 340284 + ... + 521556.

It is an arithmetic number, because the mean of its divisors is an integer number (987036930).

Almost surely, 2^78114161160 is an apocalyptic number.

78114161160 is a gapful number since it is divisible by the number (70) 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 78114161160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157925908800).

78114161160 is an abundant number, since it is smaller than the sum of its proper divisors (237737656440).

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

78114161160 is a wasteful number, since it uses less digits than its factorization.

78114161160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181322 (or 181309 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 78114161160 in words is "seventy-eight billion, one hundred fourteen million, one hundred sixty-one thousand, one hundred sixty".