158365947876864 has 1920 divisors, whose sum is σ = 564002651520000. Its totient is φ = 39464185872384.

The previous prime is 158365947876859. The next prime is 158365947876949. The reversal of 158365947876864 is 468678749563851.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 417852105027 + ... + 417852105405.

It is an arithmetic number, because the mean of its divisors is an integer number (293751381000).

Almost surely, 2^{158365947876864} is an apocalyptic number.

158365947876864 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 158365947876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282001325760000).

158365947876864 is an abundant number, since it is smaller than the sum of its proper divisors (405636703643136).

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

158365947876864 is an frugal number, since it uses more digits than its factorization.

158365947876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 423 counting only the distinct ones).

The product of its digits is 58525286400, while the sum is 87.

The spelling of 158365947876864 in words is "one hundred fifty-eight trillion, three hundred sixty-five billion, nine hundred forty-seven million, eight hundred seventy-six thousand, eight hundred sixty-four".