2449011783456 has 576 divisors, whose sum is σ = 8721791769600. Its totient is φ = 660351108096.

The previous prime is 2449011783419. The next prime is 2449011783473. The reversal of 2449011783456 is 6543871109442.

2449011783456 is a `hidden beast` number, since 2 + 4 + 490 + 1 + 1 + 78 + 34 + 56 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278197551 + ... + 278206353.

It is an arithmetic number, because the mean of its divisors is an integer number (15141999600).

It is a 1-persistent number, because it is pandigital, but 2⋅2449011783456 = 4898023566912 is not.

Almost surely, 2^{2449011783456} 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 2449011783456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360895884800).

2449011783456 is an abundant number, since it is smaller than the sum of its proper divisors (6272779986144).

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

2449011783456 is a wasteful number, since it uses less digits than its factorization.

2449011783456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9123 (or 9103 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2449011783456 in words is "two trillion, four hundred forty-nine billion, eleven million, seven hundred eighty-three thousand, four hundred fifty-six".