159414381504 has 280 divisors, whose sum is σ = 545641601120. Its totient is φ = 45076414464.

The previous prime is 159414381491. The next prime is 159414381551. The reversal of 159414381504 is 405183414951.

159414381504 is a `hidden beast` number, since 1 + 59 + 4 + 14 + 3 + 81 + 504 = 666.

159414381504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 159414381504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3497292 + ... + 3542580.

It is an arithmetic number, because the mean of its divisors is an integer number (1948720004).

Almost surely, 2^159414381504 is an apocalyptic number.

159414381504 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 159414381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272820800560).

159414381504 is an abundant number, since it is smaller than the sum of its proper divisors (386227219616).

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

159414381504 is an equidigital number, since it uses as much as digits as its factorization.

159414381504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45417 (or 45398 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 159414381504 in words is "one hundred fifty-nine billion, four hundred fourteen million, three hundred eighty-one thousand, five hundred four".