449511115944 has 128 divisors (see below), whose sum is σ = 1240806988800. Its totient is φ = 134566248960.

The previous prime is 449511115897. The next prime is 449511115973.

It is a happy number.

449511115944 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×449511115944² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 449511115893 and 449511115902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28727787 + ... + 28743429.

It is an arithmetic number, because the mean of its divisors is an integer number (9693804600).

Almost surely, 2^449511115944 is an apocalyptic number.

449511115944 is a gapful number since it is divisible by the number (44) 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 449511115944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620403494400).

449511115944 is an abundant number, since it is smaller than the sum of its proper divisors (791295872856).

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

449511115944 is a wasteful number, since it uses less digits than its factorization.

449511115944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16975 (or 16971 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

The spelling of 449511115944 in words is "four hundred forty-nine billion, five hundred eleven million, one hundred fifteen thousand, nine hundred forty-four".