1252153064448 has 880 divisors, whose sum is σ = 4421629064160. Its totient is φ = 347966668800.

The previous prime is 1252153064389. The next prime is 1252153064453. The reversal of 1252153064448 is 8444603512521.

1252153064448 is a `hidden beast` number, since 1 + 2 + 52 + 1 + 530 + 64 + 4 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2716166938 + ... + 2716167398.

It is an arithmetic number, because the mean of its divisors is an integer number (5024578482).

Almost surely, 2^{1252153064448} is an apocalyptic number.

1252153064448 is a gapful number since it is divisible by the number (18) 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 1252153064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210814532080).

1252153064448 is an abundant number, since it is smaller than the sum of its proper divisors (3169475999712).

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

1252153064448 is a wasteful number, since it uses less digits than its factorization.

1252153064448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

Adding to 1252153064448 its reverse (8444603512521), we get a palindrome (9696756576969).

The spelling of 1252153064448 in words is "one trillion, two hundred fifty-two billion, one hundred fifty-three million, sixty-four thousand, four hundred forty-eight".