78253466112 has 120 divisors (see below), whose sum is σ = 226402441980. Its totient is φ = 26020085760.

The previous prime is 78253466059. The next prime is 78253466113. The reversal of 78253466112 is 21166435287.

78253466112 is a `hidden beast` number, since 7 + 8 + 25 + 3 + 4 + 6 + 611 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63818885376 + 14434580736 = 252624^2 + 120144^2 .

It is a super-2 number, since 2×78253466112² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78253466113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1863912 + ... + 1905432.

Almost surely, 2^78253466112 is an apocalyptic number.

78253466112 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 78253466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113201220990).

78253466112 is an abundant number, since it is smaller than the sum of its proper divisors (148148975868).

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

78253466112 is a wasteful number, since it uses less digits than its factorization.

78253466112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41954 (or 41935 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 78253466112 in words is "seventy-eight billion, two hundred fifty-three million, four hundred sixty-six thousand, one hundred twelve".