78369366147072 has 1632 divisors, whose sum is σ = 288179201721600. Its totient is φ = 18621073981440.

The previous prime is 78369366147071. The next prime is 78369366147077. The reversal of 78369366147072 is 27074166396387.

It is a super-2 number, since 2×78369366147072² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78369366146988 and 78369366147006.

It is not an unprimeable number, because it can be changed into a prime (78369366147071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224554057554 + ... + 224554057902.

Almost surely, 2^{78369366147072} 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 78369366147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144089600860800).

78369366147072 is an abundant number, since it is smaller than the sum of its proper divisors (209809835574528).

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

78369366147072 is a wasteful number, since it uses less digits than its factorization.

78369366147072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 69.

The spelling of 78369366147072 in words is "seventy-eight trillion, three hundred sixty-nine billion, three hundred sixty-six million, one hundred forty-seven thousand, seventy-two".