158264016768 has 576 divisors, whose sum is σ = 546504641280. Its totient is φ = 43569377280.

The previous prime is 158264016563. The next prime is 158264016787. The reversal of 158264016768 is 867610462851.

158264016768 is a `hidden beast` number, since 1 + 582 + 6 + 40 + 16 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 143484505 + ... + 143485607.

It is an arithmetic number, because the mean of its divisors is an integer number (948792780).

Almost surely, 2^158264016768 is an apocalyptic number.

158264016768 is a gapful number since it is divisible by the number (18) 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 158264016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273252320640).

158264016768 is an abundant number, since it is smaller than the sum of its proper divisors (388240624512).

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

158264016768 is a wasteful number, since it uses less digits than its factorization.

158264016768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 158264016768 in words is "one hundred fifty-eight billion, two hundred sixty-four million, sixteen thousand, seven hundred sixty-eight".