1446730495056 has 960 divisors, whose sum is σ = 5538416947200. Its totient is φ = 356856192000.

The previous prime is 1446730495043. The next prime is 1446730495061. The reversal of 1446730495056 is 6505940376441.

It is a happy number.

1446730495056 is a `hidden beast` number, since 1 + 4 + 4 + 67 + 30 + 49 + 505 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1446730494993 and 1446730495011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 808680210 + ... + 808681998.

It is an arithmetic number, because the mean of its divisors is an integer number (5769184320).

Almost surely, 2^{1446730495056} is an apocalyptic number.

1446730495056 is a gapful number since it is divisible by the number (16) 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 1446730495056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769208473600).

1446730495056 is an abundant number, since it is smaller than the sum of its proper divisors (4091686452144).

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

1446730495056 is a wasteful number, since it uses less digits than its factorization.

1446730495056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 1446730495056 in words is "one trillion, four hundred forty-six billion, seven hundred thirty million, four hundred ninety-five thousand, fifty-six".