165494952000 has 1008 divisors, whose sum is σ = 700856236080. Its totient is φ = 37158912000.

The previous prime is 165494951983. The next prime is 165494952011. The reversal of 165494952000 is 259494561.

165494952000 is a `hidden beast` number, since 16 + 549 + 4 + 95 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 111433121856 + 54061830144 = 333816^2 + 232512^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 215207616 + ... + 215208384.

It is an arithmetic number, because the mean of its divisors is an integer number (695293885).

Almost surely, 2^165494952000 is an apocalyptic number.

165494952000 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 165494952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350428118040).

165494952000 is an abundant number, since it is smaller than the sum of its proper divisors (535361284080).

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

165494952000 is a wasteful number, since it uses less digits than its factorization.

165494952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 165494952000 in words is "one hundred sixty-five billion, four hundred ninety-four million, nine hundred fifty-two thousand".