78433026048 has 408 divisors, whose sum is σ = 249904162872. Its totient is φ = 23555211264.

The previous prime is 78433026043. The next prime is 78433026059. The reversal of 78433026048 is 84062033487.

78433026048 is a `hidden beast` number, since 7 + 8 + 4 + 3 + 30 + 2 + 604 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2415919104 + 76017106944 = 49152^2 + 275712^2 .

It is a junction number, because it is equal to n+sod(n) for n = 78433025994 and 78433026012.

It is not an unprimeable number, because it can be changed into a prime (78433026043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406388640 + ... + 406388832.

Almost surely, 2^78433026048 is an apocalyptic number.

78433026048 is a gapful number since it is divisible by the number (78) 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 78433026048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124952081436).

78433026048 is an abundant number, since it is smaller than the sum of its proper divisors (171471136824).

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

78433026048 is a wasteful number, since it uses less digits than its factorization.

78433026048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 78433026048 in words is "seventy-eight billion, four hundred thirty-three million, twenty-six thousand, forty-eight".