158803313481216 has 640 divisors, whose sum is σ = 504222371452800. Its totient is φ = 49785287344128.

The previous prime is 158803313481209. The next prime is 158803313481223. The reversal of 158803313481216 is 612184313308851.

158803313481216 is a `hidden beast` number, since 1 + 5 + 8 + 80 + 3 + 3 + 1 + 348 + 1 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (158803313481209) and next prime (158803313481223).

It is a super-2 number, since 2×158803313481216² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 43953309426 + ... + 43953313038.

It is an arithmetic number, because the mean of its divisors is an integer number (787847455395).

Almost surely, 2^{158803313481216} is an apocalyptic number.

158803313481216 is a gapful number since it is divisible by the number (16) 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 158803313481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252111185726400).

158803313481216 is an abundant number, since it is smaller than the sum of its proper divisors (345419057971584).

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

158803313481216 is an frugal number, since it uses more digits than its factorization.

158803313481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 158803313481216 in words is "one hundred fifty-eight trillion, eight hundred three billion, three hundred thirteen million, four hundred eighty-one thousand, two hundred sixteen".