450133630135464 has 128 divisors (see below), whose sum is σ = 1270060743513600. Its totient is φ = 131691076258560.

The previous prime is 450133630135457. The next prime is 450133630135471. The reversal of 450133630135464 is 464531036331054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (450133630135457) and next prime (450133630135471).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104795347 + ... + 109006109.

It is an arithmetic number, because the mean of its divisors is an integer number (9922349558700).

Almost surely, 2^{450133630135464} is an apocalyptic number.

450133630135464 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 450133630135464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635030371756800).

450133630135464 is an abundant number, since it is smaller than the sum of its proper divisors (819927113378136).

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

450133630135464 is a wasteful number, since it uses less digits than its factorization.

450133630135464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224775 (or 4224771 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 450133630135464 in words is "four hundred fifty trillion, one hundred thirty-three billion, six hundred thirty million, one hundred thirty-five thousand, four hundred sixty-four".