78223465152 has 504 divisors, whose sum is σ = 282302931456. Its totient is φ = 21373051392.

The previous prime is 78223465091. The next prime is 78223465169. The reversal of 78223465152 is 25156432287.

78223465152 is a `hidden beast` number, since 78 + 2 + 23 + 46 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×78223465152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78223465098 and 78223465107.

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, 17524873 + ... + 17529335.

It is an arithmetic number, because the mean of its divisors is an integer number (560124864).

Almost surely, 2^78223465152 is an apocalyptic number.

78223465152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78223465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141151465728).

78223465152 is an abundant number, since it is smaller than the sum of its proper divisors (204079466304).

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

78223465152 is a wasteful number, since it uses less digits than its factorization.

78223465152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4498 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 78223465152 in words is "seventy-eight billion, two hundred twenty-three million, four hundred sixty-five thousand, one hundred fifty-two".