181379003904 has 960 divisors, whose sum is σ = 656327992320. Its totient is φ = 47103344640.

The previous prime is 181379003887. The next prime is 181379003929. The reversal of 181379003904 is 409300973181.

It is a self number, because there is not a number n which added to its sum of digits gives 181379003904.

It is a congruent number.

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, 2037966292 + ... + 2037966380.

It is an arithmetic number, because the mean of its divisors is an integer number (683674992).

Almost surely, 2^181379003904 is an apocalyptic number.

181379003904 is a gapful number since it is divisible by the number (14) 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 181379003904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328163996160).

181379003904 is an abundant number, since it is smaller than the sum of its proper divisors (474948988416).

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

181379003904 is a wasteful number, since it uses less digits than its factorization.

181379003904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 181379003904 in words is "one hundred eighty-one billion, three hundred seventy-nine million, three thousand, nine hundred four".