449768303271936 has 1792 divisors, whose sum is σ = 1554983894384640. Its totient is φ = 127201148928000.

The previous prime is 449768303271919. The next prime is 449768303271941. The reversal of 449768303271936 is 639172303867944.

449768303271936 is a `hidden beast` number, since 4 + 49 + 7 + 6 + 8 + 303 + 271 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251689032835 + ... + 251689034621.

Almost surely, 2^{449768303271936} 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 449768303271936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777491947192320).

449768303271936 is an abundant number, since it is smaller than the sum of its proper divisors (1105215591112704).

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

449768303271936 is a wasteful number, since it uses less digits than its factorization.

449768303271936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 72.

The spelling of 449768303271936 in words is "four hundred forty-nine trillion, seven hundred sixty-eight billion, three hundred three million, two hundred seventy-one thousand, nine hundred thirty-six".