11371054711744 has 672 divisors, whose sum is σ = 30166277406720. Its totient is φ = 4215576379392.

The previous prime is 11371054711729. The next prime is 11371054711769. The reversal of 11371054711744 is 44711745017311.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11371054711694 and 11371054711703.

It is a congruent number.

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, 33742001944 + ... + 33742002280.

It is an arithmetic number, because the mean of its divisors is an integer number (44890293760).

Almost surely, 2^{11371054711744} is an apocalyptic number.

11371054711744 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 11371054711744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083138703360).

11371054711744 is an abundant number, since it is smaller than the sum of its proper divisors (18795222694976).

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

11371054711744 is an equidigital number, since it uses as much as digits as its factorization.

11371054711744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 46.

The spelling of 11371054711744 in words is "eleven trillion, three hundred seventy-one billion, fifty-four million, seven hundred eleven thousand, seven hundred forty-four".