11180542464 has 540 divisors, whose sum is σ = 40784229486. Its totient is φ = 2938650624.

The previous prime is 11180542453. The next prime is 11180542481. The reversal of 11180542464 is 46424508111.

11180542464 is a `hidden beast` number, since 11 + 180 + 5 + 4 + 2 + 464 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8537760000 + 2642782464 = 92400^2 + 51408^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 38158702 + ... + 38158994.

Almost surely, 2^11180542464 is an apocalyptic number.

11180542464 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 11180542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20392114743).

11180542464 is an abundant number, since it is smaller than the sum of its proper divisors (29603687022).

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

11180542464 is a wasteful number, since it uses less digits than its factorization.

11180542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 11180542464 in words is "eleven billion, one hundred eighty million, five hundred forty-two thousand, four hundred sixty-four".