449972100864 has 432 divisors, whose sum is σ = 1532077747200. Its totient is φ = 125215580160.

The previous prime is 449972100863. The next prime is 449972100881. The reversal of 449972100864 is 468001279944.

449972100864 is a `hidden beast` number, since 4 + 499 + 72 + 1 + 0 + 0 + 86 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 449972100864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449972100863) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 65561497 + ... + 65568359.

Almost surely, 2^449972100864 is an apocalyptic number.

449972100864 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 449972100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766038873600).

449972100864 is an abundant number, since it is smaller than the sum of its proper divisors (1082105646336).

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

449972100864 is a wasteful number, since it uses less digits than its factorization.

449972100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 449972100864 in words is "four hundred forty-nine billion, nine hundred seventy-two million, one hundred thousand, eight hundred sixty-four".