2246458406400 has 960 divisors, whose sum is σ = 8990955167040. Its totient is φ = 552884797440.

The previous prime is 2246458406389. The next prime is 2246458406429. The reversal of 2246458406400 is 46048546422.

2246458406400 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 4 + 584 + 0 + 64 + 0 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363913714 + ... + 363919886.

It is an arithmetic number, because the mean of its divisors is an integer number (9365578299).

Almost surely, 2^{2246458406400} is an apocalyptic number.

2246458406400 is a gapful number since it is divisible by the number (20) 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 2246458406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495477583520).

2246458406400 is an abundant number, since it is smaller than the sum of its proper divisors (6744496760640).

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

2246458406400 is an frugal number, since it uses more digits than its factorization.

2246458406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 2246458406400 in words is "two trillion, two hundred forty-six billion, four hundred fifty-eight million, four hundred six thousand, four hundred".