158895017268416 has 336 divisors, whose sum is σ = 390704143785984. Its totient is φ = 63609815808000.

The previous prime is 158895017268371. The next prime is 158895017268437. The reversal of 158895017268416 is 614862710598851.

It is a super-2 number, since 2×158895017268416² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (71).

It is a self number, because there is not a number n which added to its sum of digits gives 158895017268416.

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 47 ways as a sum of consecutive naturals, for example, 221220521 + ... + 221937623.

It is an arithmetic number, because the mean of its divisors is an integer number (1162809951744).

Almost surely, 2^{158895017268416} is an apocalyptic number.

158895017268416 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 158895017268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195352071892992).

158895017268416 is an abundant number, since it is smaller than the sum of its proper divisors (231809126517568).

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

158895017268416 is a wasteful number, since it uses less digits than its factorization.

158895017268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717252 (or 717231 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 71.

The spelling of 158895017268416 in words is "one hundred fifty-eight trillion, eight hundred ninety-five billion, seventeen million, two hundred sixty-eight thousand, four hundred sixteen".