1253782462464 has 672 divisors, whose sum is σ = 4508339472000. Its totient is φ = 327592968192.

The previous prime is 1253782462459. The next prime is 1253782462487. The reversal of 1253782462464 is 4642642873521.

It is a happy number.

1253782462464 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 7 + 8 + 2 + 4 + 624 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 1253782462464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284366692 + ... + 284371100.

It is an arithmetic number, because the mean of its divisors is an integer number (6708838500).

Almost surely, 2^{1253782462464} is an apocalyptic number.

1253782462464 is a gapful number since it is divisible by the number (14) 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 1253782462464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254169736000).

1253782462464 is an abundant number, since it is smaller than the sum of its proper divisors (3254557009536).

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

1253782462464 is a wasteful number, since it uses less digits than its factorization.

1253782462464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4469 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 1253782462464 in words is "one trillion, two hundred fifty-three billion, seven hundred eighty-two million, four hundred sixty-two thousand, four hundred sixty-four".