11245261626144 has 576 divisors, whose sum is σ = 41251076665344. Its totient is φ = 2824304744448.

The previous prime is 11245261626127. The next prime is 11245261626173. The reversal of 11245261626144 is 44162616254211.

11245261626144 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 5 + 2 + 6 + 1 + 626 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11245261626144.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136790877 + ... + 136873059.

It is an arithmetic number, because the mean of its divisors is an integer number (71616452544).

Almost surely, 2^{11245261626144} is an apocalyptic number.

11245261626144 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 11245261626144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20625538332672).

11245261626144 is an abundant number, since it is smaller than the sum of its proper divisors (30005815039200).

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

11245261626144 is a wasteful number, since it uses less digits than its factorization.

11245261626144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82469 (or 82458 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 11245261626144 in words is "eleven trillion, two hundred forty-five billion, two hundred sixty-one million, six hundred twenty-six thousand, one hundred forty-four".