264445296127488 has 960 divisors, whose sum is σ = 940988621802240. Its totient is φ = 73067194368000.

The previous prime is 264445296127433. The next prime is 264445296127631. The reversal of 264445296127488 is 884721692544462.

264445296127488 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 4 + 52 + 96 + 1 + 2 + 7 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2941799023 + ... + 2941888913.

It is an arithmetic number, because the mean of its divisors is an integer number (980196481044).

Almost surely, 2^{264445296127488} is an apocalyptic number.

264445296127488 is a gapful number since it is divisible by the number (28) 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 264445296127488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470494310901120).

264445296127488 is an abundant number, since it is smaller than the sum of its proper divisors (676543325674752).

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

264445296127488 is a wasteful number, since it uses less digits than its factorization.

264445296127488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90076 (or 90047 counting only the distinct ones).

The product of its digits is 1486356480, while the sum is 72.

The spelling of 264445296127488 in words is "two hundred sixty-four trillion, four hundred forty-five billion, two hundred ninety-six million, one hundred twenty-seven thousand, four hundred eighty-eight".