449156735496 has 256 divisors, whose sum is σ = 1501701120000. Its totient is φ = 121514743296.

The previous prime is 449156735483. The next prime is 449156735501. The reversal of 449156735496 is 694537651944.

It is a happy number.

449156735496 is a `hidden beast` number, since 4 + 4 + 9 + 15 + 6 + 73 + 549 + 6 = 666.

It is a super-3 number, since 3×449156735496³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110112385 + ... + 110116463.

It is an arithmetic number, because the mean of its divisors is an integer number (5866020000).

Almost surely, 2^449156735496 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 449156735496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750850560000).

449156735496 is an abundant number, since it is smaller than the sum of its proper divisors (1052544384504).

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

449156735496 is a wasteful number, since it uses less digits than its factorization.

449156735496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7953 (or 7943 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 449156735496 in words is "four hundred forty-nine billion, one hundred fifty-six million, seven hundred thirty-five thousand, four hundred ninety-six".