11137481431776 has 576 divisors, whose sum is σ = 38445927428160. Its totient is φ = 3126829547520.

The previous prime is 11137481431759. The next prime is 11137481431787. The reversal of 11137481431776 is 67713418473111.

It is a happy number.

11137481431776 is a `hidden beast` number, since 1 + 1 + 137 + 4 + 8 + 1 + 431 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 4010614900 + ... + 4010617676.

It is an arithmetic number, because the mean of its divisors is an integer number (66746401785).

Almost surely, 2^{11137481431776} is an apocalyptic number.

11137481431776 is a gapful number since it is divisible by the number (16) 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 11137481431776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19222963714080).

11137481431776 is an abundant number, since it is smaller than the sum of its proper divisors (27308445996384).

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

11137481431776 is a wasteful number, since it uses less digits than its factorization.

11137481431776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4403 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 11137481431776 in words is "eleven trillion, one hundred thirty-seven billion, four hundred eighty-one million, four hundred thirty-one thousand, seven hundred seventy-six".