11071831456 has 192 divisors, whose sum is σ = 26429760000. Its totient is φ = 4560095232.

The previous prime is 11071831447. The next prime is 11071831457. The reversal of 11071831456 is 65413817011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (11071831457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55637245 + ... + 55637443.

It is an arithmetic number, because the mean of its divisors is an integer number (137655000).

Almost surely, 2^11071831456 is an apocalyptic number.

11071831456 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 11071831456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13214880000).

11071831456 is an abundant number, since it is smaller than the sum of its proper divisors (15357928544).

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

11071831456 is a wasteful number, since it uses less digits than its factorization.

11071831456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 11071831456 in words is "eleven billion, seventy-one million, eight hundred thirty-one thousand, four hundred fifty-six".