11038395971232 has 576 divisors, whose sum is σ = 38448916289280. Its totient is φ = 3109338731520.

The previous prime is 11038395971231. The next prime is 11038395971233. The reversal of 11038395971232 is 23217959383011.

It is a happy number.

11038395971232 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 8 + 3 + 9 + 597 + 12 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (11038395971231) and next prime (11038395971233).

It is a super-3 number, since 3×11038395971232³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11038395971231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243451668 + ... + 243497004.

It is an arithmetic number, because the mean of its divisors is an integer number (66751590780).

Almost surely, 2^{11038395971232} is an apocalyptic number.

11038395971232 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 11038395971232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224458144640).

11038395971232 is an abundant number, since it is smaller than the sum of its proper divisors (27410520318048).

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

11038395971232 is an frugal number, since it uses more digits than its factorization.

11038395971232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45453 (or 45420 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 11038395971232 in words is "eleven trillion, thirty-eight billion, three hundred ninety-five million, nine hundred seventy-one thousand, two hundred thirty-two".