11038436352 has 396 divisors, whose sum is σ = 34809742656. Its totient is φ = 3493601280.

The previous prime is 11038436351. The next prime is 11038436377. The reversal of 11038436352 is 25363483011.

11038436352 is a `hidden beast` number, since 1 + 10 + 3 + 8 + 4 + 3 + 635 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11038436351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208272358 + ... + 208272410.

Almost surely, 2^11038436352 is an apocalyptic number.

11038436352 is a gapful number since it is divisible by the number (12) 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 11038436352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404871328).

11038436352 is an abundant number, since it is smaller than the sum of its proper divisors (23771306304).

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

11038436352 is an frugal number, since it uses more digits than its factorization.

11038436352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 11038436352 in words is "eleven billion, thirty-eight million, four hundred thirty-six thousand, three hundred fifty-two".