2456375132544 has 128 divisors (see below), whose sum is σ = 6543320400000. Its totient is φ = 816463749120.

The previous prime is 2456375132447. The next prime is 2456375132581. The reversal of 2456375132544 is 4452315736542.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 260784667 + ... + 260794085.

It is an arithmetic number, because the mean of its divisors is an integer number (51119690625).

Almost surely, 2^{2456375132544} is an apocalyptic number.

2456375132544 is a gapful number since it is divisible by the number (24) 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 2456375132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271660200000).

2456375132544 is an abundant number, since it is smaller than the sum of its proper divisors (4086945267456).

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

2456375132544 is a wasteful number, since it uses less digits than its factorization.

2456375132544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11296 (or 11284 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 51.

The spelling of 2456375132544 in words is "two trillion, four hundred fifty-six billion, three hundred seventy-five million, one hundred thirty-two thousand, five hundred forty-four".