165016463040 has 336 divisors, whose sum is σ = 666818189856. Its totient is φ = 36926668800.

The previous prime is 165016462999. The next prime is 165016463069. The reversal of 165016463040 is 40364610561.

It is a happy number.

165016463040 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 1 + 646 + 3 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165016462986 and 165016463004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211500 + ... + 612180.

It is an arithmetic number, because the mean of its divisors is an integer number (1984577946).

Almost surely, 2^165016463040 is an apocalyptic number.

165016463040 is a gapful number since it is divisible by the number (10) 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 165016463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333409094928).

165016463040 is an abundant number, since it is smaller than the sum of its proper divisors (501801726816).

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

165016463040 is a wasteful number, since it uses less digits than its factorization.

165016463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400728 (or 400715 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 165016463040 in words is "one hundred sixty-five billion, sixteen million, four hundred sixty-three thousand, forty".