4482161453952 has 1152 divisors, whose sum is σ = 16962143627520. Its totient is φ = 1152888422400.

The previous prime is 4482161453947. The next prime is 4482161454013. The reversal of 4482161453952 is 2593541612844.

4482161453952 is a `hidden beast` number, since 4 + 4 + 82 + 1 + 61 + 453 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1508635827 + ... + 1508638797.

It is an arithmetic number, because the mean of its divisors is an integer number (14724083010).

Almost surely, 2^{4482161453952} is an apocalyptic number.

4482161453952 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 4482161453952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481071813760).

4482161453952 is an abundant number, since it is smaller than the sum of its proper divisors (12479982173568).

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

4482161453952 is a wasteful number, since it uses less digits than its factorization.

4482161453952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3037 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 4482161453952 in words is "four trillion, four hundred eighty-two billion, one hundred sixty-one million, four hundred fifty-three thousand, nine hundred fifty-two".