78243381216 has 384 divisors, whose sum is σ = 306411033600. Its totient is φ = 18759444480.

The previous prime is 78243381179. The next prime is 78243381221. The reversal of 78243381216 is 61218334287.

78243381216 is a `hidden beast` number, since 7 + 8 + 243 + 381 + 21 + 6 = 666.

It is a super-2 number, since 2×78243381216² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 819630 + ... + 910098.

It is an arithmetic number, because the mean of its divisors is an integer number (797945400).

Almost surely, 2^78243381216 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 78243381216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153205516800).

78243381216 is an abundant number, since it is smaller than the sum of its proper divisors (228167652384).

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

78243381216 is a wasteful number, since it uses less digits than its factorization.

78243381216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90519 (or 90505 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 78243381216 in words is "seventy-eight billion, two hundred forty-three million, three hundred eighty-one thousand, two hundred sixteen".