2563146399744 has 1080 divisors, whose sum is σ = 9289302946560. Its totient is φ = 664698617856.

The previous prime is 2563146399743. The next prime is 2563146399769. The reversal of 2563146399744 is 4479936413652.

It is a happy number.

2563146399744 is a `hidden beast` number, since 2 + 5 + 63 + 146 + 399 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563146399743) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32444891097 + ... + 32444891175.

It is an arithmetic number, because the mean of its divisors is an integer number (8601206432).

Almost surely, 2^{2563146399744} is an apocalyptic number.

2563146399744 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 2563146399744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644651473280).

2563146399744 is an abundant number, since it is smaller than the sum of its proper divisors (6726156546816).

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

2563146399744 is an equidigital number, since it uses as much as digits as its factorization.

2563146399744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 151 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 2563146399744 in words is "two trillion, five hundred sixty-three billion, one hundred forty-six million, three hundred ninety-nine thousand, seven hundred forty-four".