78066229248 has 490 divisors, whose sum is σ = 272090453151. Its totient is φ = 22304636928.

The previous prime is 78066229237. The next prime is 78066229259. The reversal of 78066229248 is 84292266087.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

78066229248 is a `hidden beast` number, since 7 + 8 + 0 + 6 + 622 + 9 + 2 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (78066229237) and next prime (78066229259).

It can be written as a sum of positive squares in only one way, i.e., 39033114624 + 39033114624 = 197568^2 + 197568^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=197568.

It is a super-2 number, since 2×78066229248² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78066229194 and 78066229203.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 11152318461 + ... + 11152318467.

Almost surely, 2^78066229248 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 78066229248

78066229248 is an abundant number, since it is smaller than the sum of its proper divisors (194024223903).

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

78066229248 is an frugal number, since it uses more digits than its factorization.

78066229248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

78066229248 divided by its product of nonzero digits (4644864) gives a 5-th power (16807 = 7⁵).

The spelling of 78066229248 in words is "seventy-eight billion, sixty-six million, two hundred twenty-nine thousand, two hundred forty-eight".