78476166144 has 352 divisors, whose sum is σ = 237524054400. Its totient is φ = 25590988800.

The previous prime is 78476166133. The next prime is 78476166151. The reversal of 78476166144 is 44166167487.

It is a happy number.

78476166144 is a `hidden beast` number, since 7 + 8 + 4 + 7 + 6 + 16 + 614 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438414247 + ... + 438414425.

Almost surely, 2^78476166144 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 78476166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118762027200).

78476166144 is an abundant number, since it is smaller than the sum of its proper divisors (159047888256).

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

78476166144 is a wasteful number, since it uses less digits than its factorization.

78476166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 442 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 78476166144 in words is "seventy-eight billion, four hundred seventy-six million, one hundred sixty-six thousand, one hundred forty-four".