165826943415 has 288 divisors, whose sum is σ = 363903321600. Its totient is φ = 72094530816.

The previous prime is 165826943291. The next prime is 165826943419. The reversal of 165826943415 is 514349628561.

165826943415 is a `hidden beast` number, since 1 + 6 + 582 + 6 + 9 + 43 + 4 + 15 = 666.

It is not a de Polignac number, because 165826943415 - 2⁸ = 165826943159 is a prime.

It is a super-2 number, since 2×165826943415² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165826943419) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 475148661 + ... + 475149009.

It is an arithmetic number, because the mean of its divisors is an integer number (1263553200).

Almost surely, 2^165826943415 is an apocalyptic number.

165826943415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165826943415 is an abundant number, since it is smaller than the sum of its proper divisors (198076378185).

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

165826943415 is a wasteful number, since it uses less digits than its factorization.

165826943415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 734 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 165826943415 in words is "one hundred sixty-five billion, eight hundred twenty-six million, nine hundred forty-three thousand, four hundred fifteen".