78361014816 has 360 divisors, whose sum is σ = 269292537360. Its totient is φ = 22380043392.

The previous prime is 78361014779. The next prime is 78361014829. The reversal of 78361014816 is 61841016387.

78361014816 is a `hidden beast` number, since 7 + 8 + 3 + 610 + 14 + 8 + 16 = 666.

It is a super-2 number, since 2×78361014816² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30861675 + ... + 30864213.

It is an arithmetic number, because the mean of its divisors is an integer number (748034826).

Almost surely, 2^78361014816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78361014816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134646268680).

78361014816 is an abundant number, since it is smaller than the sum of its proper divisors (190931522544).

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

78361014816 is an frugal number, since it uses more digits than its factorization.

78361014816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 78361014816 in words is "seventy-eight billion, three hundred sixty-one million, fourteen thousand, eight hundred sixteen".