165418149109824 has 168 divisors, whose sum is σ = 524414031774360. Its totient is φ = 49522273247232.

The previous prime is 165418149109777. The next prime is 165418149109867. The reversal of 165418149109824 is 428901941814561.

165418149109824 is a `hidden beast` number, since 1 + 6 + 5 + 41 + 81 + 491 + 0 + 9 + 8 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41537509401600 + 123880639708224 = 6444960^2 + 11130168^2 .

It is a super-2 number, since 2×165418149109824² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298251309 + ... + 298805420.

It is an arithmetic number, because the mean of its divisors is an integer number (3121512093895).

Almost surely, 2^{165418149109824} is an apocalyptic number.

It is an amenable number.

165418149109824 is an abundant number, since it is smaller than the sum of its proper divisors (358995882664536).

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

165418149109824 is a wasteful number, since it uses less digits than its factorization.

165418149109824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597056797 (or 597056784 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 165418149109824 in words is "one hundred sixty-five trillion, four hundred eighteen billion, one hundred forty-nine million, one hundred nine thousand, eight hundred twenty-four".