178849618464 has 576 divisors, whose sum is σ = 583355364480. Its totient is φ = 47379087360.

The previous prime is 178849618439. The next prime is 178849618469. The reversal of 178849618464 is 464816948871.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 178849618395 and 178849618404.

It is not an unprimeable number, because it can be changed into a prime (178849618469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 351374242 + ... + 351374750.

It is an arithmetic number, because the mean of its divisors is an integer number (1012769730).

Almost surely, 2^178849618464 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 178849618464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291677682240).

178849618464 is an abundant number, since it is smaller than the sum of its proper divisors (404505746016).

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

178849618464 is a wasteful number, since it uses less digits than its factorization.

178849618464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 602 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 66.

The spelling of 178849618464 in words is "one hundred seventy-eight billion, eight hundred forty-nine million, six hundred eighteen thousand, four hundred sixty-four".