78181333472112 has 320 divisors, whose sum is σ = 230620729328640. Its totient is φ = 22623805440000.

The previous prime is 78181333472101. The next prime is 78181333472117. The reversal of 78181333472112 is 21127433318187.

It is a super-2 number, since 2×78181333472112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78181333472117) by changing a digit.

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, 2866186218 + ... + 2866213494.

It is an arithmetic number, because the mean of its divisors is an integer number (720689779152).

Almost surely, 2^{78181333472112} 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 78181333472112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115310364664320).

78181333472112 is an abundant number, since it is smaller than the sum of its proper divisors (152439395856528).

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

78181333472112 is a wasteful number, since it uses less digits than its factorization.

78181333472112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29072 (or 29066 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The spelling of 78181333472112 in words is "seventy-eight trillion, one hundred eighty-one billion, three hundred thirty-three million, four hundred seventy-two thousand, one hundred twelve".