11274183936 has 360 divisors, whose sum is σ = 35058177000. Its totient is φ = 3600875520.

The previous prime is 11274183923. The next prime is 11274183937. The reversal of 11274183936 is 63938147211.

It can be written as a sum of positive squares in 4 ways, for example, as 821166336 + 10453017600 = 28656^2 + 102240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11274183891 and 11274183900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11274183937) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75665590 + ... + 75665738.

It is an arithmetic number, because the mean of its divisors is an integer number (97383825).

Almost surely, 2^11274183936 is an apocalyptic number.

11274183936 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 11274183936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17529088500).

11274183936 is an abundant number, since it is smaller than the sum of its proper divisors (23783993064).

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

11274183936 is an equidigital number, since it uses as much as digits as its factorization.

11274183936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 284 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 11274183936 in words is "eleven billion, two hundred seventy-four million, one hundred eighty-three thousand, nine hundred thirty-six".