11438541000 has 192 divisors, whose sum is σ = 38948672880. Its totient is φ = 3027686400.

The previous prime is 11438540999. The next prime is 11438541007. The reversal of 11438541000 is 14583411.

It is a happy number.

11438541000 is a `hidden beast` number, since 114 + 3 + 8 + 541 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1707507684 + 9731033316 = 41322^2 + 98646^2 .

It is not an unprimeable number, because it can be changed into a prime (11438541007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1228362 + ... + 1237638.

Almost surely, 2^11438541000 is an apocalyptic number.

11438541000 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 11438541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474336440).

11438541000 is an abundant number, since it is smaller than the sum of its proper divisors (27510131880).

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

11438541000 is a wasteful number, since it uses less digits than its factorization.

11438541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9441 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11438541000 in words is "eleven billion, four hundred thirty-eight million, five hundred forty-one thousand".