181376230464 has 672 divisors, whose sum is σ = 635221536768. Its totient is φ = 48729600000.

The previous prime is 181376230457. The next prime is 181376230501. The reversal of 181376230464 is 464032673181.

181376230464 is a `hidden beast` number, since 1 + 8 + 1 + 376 + 230 + 46 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 640905267 + ... + 640905549.

It is an arithmetic number, because the mean of its divisors is an integer number (945270144).

Almost surely, 2^181376230464 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 181376230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317610768384).

181376230464 is an abundant number, since it is smaller than the sum of its proper divisors (453845306304).

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

181376230464 is a wasteful number, since it uses less digits than its factorization.

181376230464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 181376230464 in words is "one hundred eighty-one billion, three hundred seventy-six million, two hundred thirty thousand, four hundred sixty-four".