159459779449152 has 1344 divisors, whose sum is σ = 634884854688000. Its totient is φ = 38764892307456.

The previous prime is 159459779449099. The next prime is 159459779449177. The reversal of 159459779449152 is 251944977954951.

159459779449152 is a `hidden beast` number, since 1 + 5 + 9 + 4 + 5 + 9 + 7 + 79 + 4 + 491 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 773714374 + ... + 773920442.

It is an arithmetic number, because the mean of its divisors is an integer number (472384564500).

Almost surely, 2^{159459779449152} is an apocalyptic number.

159459779449152 is a gapful number since it is divisible by the number (12) 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 159459779449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317442427344000).

159459779449152 is an abundant number, since it is smaller than the sum of its proper divisors (475425075238848).

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

159459779449152 is a wasteful number, since it uses less digits than its factorization.

159459779449152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206173 (or 206150 counting only the distinct ones).

The product of its digits is 5143824000, while the sum is 81.

The spelling of 159459779449152 in words is "one hundred fifty-nine trillion, four hundred fifty-nine billion, seven hundred seventy-nine million, four hundred forty-nine thousand, one hundred fifty-two".