2446381952352 has 192 divisors, whose sum is σ = 7742810718720. Its totient is φ = 746986406400.

The previous prime is 2446381952351. The next prime is 2446381952369. The reversal of 2446381952352 is 2532591836442.

2446381952352 is a `hidden beast` number, since 2 + 4 + 4 + 63 + 8 + 1 + 9 + 523 + 52 = 666.

2446381952352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2446381952351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640077 + ... + 2302707.

It is an arithmetic number, because the mean of its divisors is an integer number (40327139160).

Almost surely, 2^{2446381952352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2446381952352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871405359360).

2446381952352 is an abundant number, since it is smaller than the sum of its proper divisors (5296428766368).

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

2446381952352 is a wasteful number, since it uses less digits than its factorization.

2446381952352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662794 (or 1662780 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 2446381952352 in words is "two trillion, four hundred forty-six billion, three hundred eighty-one million, nine hundred fifty-two thousand, three hundred fifty-two".