264401446243116 has 192 divisors, whose sum is σ = 760619295249408. Its totient is φ = 69611731402752.

The previous prime is 264401446243097. The next prime is 264401446243133. The reversal of 264401446243116 is 611342644104462.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9272999676 + ... + 9273028188.

It is an arithmetic number, because the mean of its divisors is an integer number (3961558829424).

Almost surely, 2^{264401446243116} is an apocalyptic number.

264401446243116 is a gapful number since it is divisible by the number (26) 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 264401446243116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380309647624704).

264401446243116 is an abundant number, since it is smaller than the sum of its proper divisors (496217849006292).

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

264401446243116 is a wasteful number, since it uses less digits than its factorization.

264401446243116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42920 (or 42918 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 264401446243116 in words is "two hundred sixty-four trillion, four hundred one billion, four hundred forty-six million, two hundred forty-three thousand, one hundred sixteen".