450201161592 has 480 divisors, whose sum is σ = 1595176783200. Its totient is φ = 117570507264.

The previous prime is 450201161591. The next prime is 450201161603. The reversal of 450201161592 is 295161102054.

450201161592 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 0 + 1 + 1 + 61 + 592 = 666.

It is a super-4 number, since 4×450201161592⁴ (a number of 48 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450201161591) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42510634 + ... + 42521222.

It is an arithmetic number, because the mean of its divisors is an integer number (3323284965).

Almost surely, 2^450201161592 is an apocalyptic number.

450201161592 is a gapful number since it is divisible by the number (42) 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 450201161592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797588391600).

450201161592 is an abundant number, since it is smaller than the sum of its proper divisors (1144975621608).

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

450201161592 is a wasteful number, since it uses less digits than its factorization.

450201161592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10737 (or 10717 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 450201161592 in words is "four hundred fifty billion, two hundred one million, one hundred sixty-one thousand, five hundred ninety-two".