450113961888 has 288 divisors, whose sum is σ = 1362280308480. Its totient is φ = 140671365120.

The previous prime is 450113961883. The next prime is 450113961893. The reversal of 450113961888 is 888169311054.

It is a happy number.

450113961888 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 13 + 9 + 618 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (450113961883) and next prime (450113961893).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (450113961883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126470253 + ... + 126473811.

It is an arithmetic number, because the mean of its divisors is an integer number (4730139960).

Almost surely, 2^450113961888 is an apocalyptic number.

450113961888 is a gapful number since it is divisible by the number (48) 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 450113961888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681140154240).

450113961888 is an abundant number, since it is smaller than the sum of its proper divisors (912166346592).

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

450113961888 is a wasteful number, since it uses less digits than its factorization.

450113961888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 450113961888 in words is "four hundred fifty billion, one hundred thirteen million, nine hundred sixty-one thousand, eight hundred eighty-eight".