450144314425632 has 96 divisors (see below), whose sum is σ = 1202476287200832. Its totient is φ = 147416803835904.

The previous prime is 450144314425613. The next prime is 450144314425643. The reversal of 450144314425632 is 236524413441054.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123165718 + ... + 126767829.

It is an arithmetic number, because the mean of its divisors is an integer number (12525794658342).

Almost surely, 2^{450144314425632} is an apocalyptic number.

It is an amenable number.

450144314425632 is an abundant number, since it is smaller than the sum of its proper divisors (752331972775200).

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

450144314425632 is a wasteful number, since it uses less digits than its factorization.

450144314425632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249933890 (or 249933882 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

Adding to 450144314425632 its reverse (236524413441054), we get a palindrome (686668727866686).

The spelling of 450144314425632 in words is "four hundred fifty trillion, one hundred forty-four billion, three hundred fourteen million, four hundred twenty-five thousand, six hundred thirty-two".