26245741131144 has 192 divisors, whose sum is σ = 75939505387200. Its totient is φ = 8165063098368.

The previous prime is 26245741131133. The next prime is 26245741131157. The reversal of 26245741131144 is 44113114754262.

26245741131144 is a `hidden beast` number, since 2 + 6 + 2 + 4 + 574 + 1 + 1 + 31 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26245741131144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39753624 + ... + 40408440.

It is an arithmetic number, because the mean of its divisors is an integer number (395518257225).

Almost surely, 2^{26245741131144} is an apocalyptic number.

26245741131144 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 26245741131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37969752693600).

26245741131144 is an abundant number, since it is smaller than the sum of its proper divisors (49693764256056).

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

26245741131144 is a wasteful number, since it uses less digits than its factorization.

26245741131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655284 (or 655277 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 26245741131144 in words is "twenty-six trillion, two hundred forty-five billion, seven hundred forty-one million, one hundred thirty-one thousand, one hundred forty-four".