449757069268416 has 448 divisors, whose sum is σ = 1480936236122112. Its totient is φ = 117299744206848.

The previous prime is 449757069268379. The next prime is 449757069268421. The reversal of 449757069268416 is 614862960757944.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680885695 + ... + 681545921.

It is an arithmetic number, because the mean of its divisors is an integer number (3305661241344).

Almost surely, 2^{449757069268416} 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 449757069268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740468118061056).

449757069268416 is an abundant number, since it is smaller than the sum of its proper divisors (1031179166853696).

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

449757069268416 is a wasteful number, since it uses less digits than its factorization.

449757069268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660696 (or 660686 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 78.

The spelling of 449757069268416 in words is "four hundred forty-nine trillion, seven hundred fifty-seven billion, sixty-nine million, two hundred sixty-eight thousand, four hundred sixteen".