78013414116 has 192 divisors, whose sum is σ = 235060761600. Its totient is φ = 22125830400.

The previous prime is 78013414099. The next prime is 78013414147. The reversal of 78013414116 is 61141431087.

It is a super-2 number, since 2×78013414116² (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 an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1852656 + ... + 1894296.

It is an arithmetic number, because the mean of its divisors is an integer number (1224274800).

Almost surely, 2^78013414116 is an apocalyptic number.

78013414116 is a gapful number since it is divisible by the number (76) 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 78013414116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117530380800).

78013414116 is an abundant number, since it is smaller than the sum of its proper divisors (157047347484).

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

78013414116 is a wasteful number, since it uses less digits than its factorization.

78013414116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41767 (or 41759 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 78013414116 in words is "seventy-eight billion, thirteen million, four hundred fourteen thousand, one hundred sixteen".