165998246400 has 960 divisors, whose sum is σ = 708747494400. Its totient is φ = 37267292160.

The previous prime is 165998246399. The next prime is 165998246411. The reversal of 165998246400 is 4642899561.

165998246400 is a `hidden beast` number, since 1 + 6 + 599 + 8 + 2 + 4 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×165998246400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142732219 + ... + 142733381.

It is an arithmetic number, because the mean of its divisors is an integer number (738278640).

Almost surely, 2^165998246400 is an apocalyptic number.

165998246400 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 165998246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354373747200).

165998246400 is an abundant number, since it is smaller than the sum of its proper divisors (542749248000).

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

165998246400 is a wasteful number, since it uses less digits than its factorization.

165998246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 165998246400 in words is "one hundred sixty-five billion, nine hundred ninety-eight million, two hundred forty-six thousand, four hundred".