78854437918368 has 432 divisors, whose sum is σ = 264112403798880. Its totient is φ = 22248590902272.

The previous prime is 78854437918327. The next prime is 78854437918381. The reversal of 78854437918368 is 86381973445887.

78854437918368 is a `hidden beast` number, since 7 + 8 + 8 + 5 + 4 + 4 + 379 + 183 + 68 = 666.

It is a super-3 number, since 3×78854437918368³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2901286603 + ... + 2901313781.

It is an arithmetic number, because the mean of its divisors is an integer number (611371305090).

Almost surely, 2^{78854437918368} 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 78854437918368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132056201899440).

78854437918368 is an abundant number, since it is smaller than the sum of its proper divisors (185257965880512).

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

78854437918368 is a wasteful number, since it uses less digits than its factorization.

78854437918368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29769 (or 29751 counting only the distinct ones).

The product of its digits is 7803371520, while the sum is 81.

The spelling of 78854437918368 in words is "seventy-eight trillion, eight hundred fifty-four billion, four hundred thirty-seven million, nine hundred eighteen thousand, three hundred sixty-eight".