264455912448 has 1232 divisors, whose sum is σ = 1037424185280. Its totient is φ = 65357217792.

The previous prime is 264455912443. The next prime is 264455912449. The reversal of 264455912448 is 844219554462.

264455912448 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 5 + 591 + 2 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 264455912394 and 264455912403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264455912443) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1154829198 + ... + 1154829426.

Almost surely, 2^264455912448 is an apocalyptic number.

264455912448 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 264455912448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518712092640).

264455912448 is an abundant number, since it is smaller than the sum of its proper divisors (772968272832).

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

264455912448 is a wasteful number, since it uses less digits than its factorization.

264455912448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 271 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 264455912448 in words is "two hundred sixty-four billion, four hundred fifty-five million, nine hundred twelve thousand, four hundred forty-eight".