264451146450 has 96 divisors (see below), whose sum is σ = 679270095360. Its totient is φ = 68087629120.

The previous prime is 264451146437. The next prime is 264451146473. The reversal of 264451146450 is 54641154462.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3622207 + ... + 3694493.

It is an arithmetic number, because the mean of its divisors is an integer number (7075730160).

Almost surely, 2^264451146450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264451146450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339635047680).

264451146450 is an abundant number, since it is smaller than the sum of its proper divisors (414818948910).

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

264451146450 is an equidigital number, since it uses as much as digits as its factorization.

264451146450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72389 (or 72326 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 264451146450 in words is "two hundred sixty-four billion, four hundred fifty-one million, one hundred forty-six thousand, four hundred fifty".