11182463640 has 256 divisors, whose sum is σ = 38155276800. Its totient is φ = 2912113152.

The previous prime is 11182463629. The next prime is 11182463647. The reversal of 11182463640 is 4636428111.

11182463640 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 2 + 4 + 6 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11182463595 and 11182463604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11182463647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19861999 + ... + 19862561.

It is an arithmetic number, because the mean of its divisors is an integer number (149044050).

Almost surely, 2^11182463640 is an apocalyptic number.

11182463640 is a gapful number since it is divisible by the number (10) 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 11182463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19077638400).

11182463640 is an abundant number, since it is smaller than the sum of its proper divisors (26972813160).

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

11182463640 is a wasteful number, since it uses less digits than its factorization.

11182463640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11182463640 in words is "eleven billion, one hundred eighty-two million, four hundred sixty-three thousand, six hundred forty".