11438435890672 has 80 divisors (see below), whose sum is σ = 25561778798592. Its totient is φ = 4857036549120.

The previous prime is 11438435890643. The next prime is 11438435890703. The reversal of 11438435890672 is 27609853483411.

It is a super-3 number, since 3×11438435890672³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11438435890672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10027272 + ... + 11109592.

It is a 1-persistent number, because it is pandigital, but 2⋅11438435890672 = 22876871781344 is not.

Almost surely, 2^{11438435890672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11438435890672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12780889399296).

11438435890672 is an abundant number, since it is smaller than the sum of its proper divisors (14123342907920).

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

11438435890672 is a wasteful number, since it uses less digits than its factorization.

11438435890672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083206 (or 1083200 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 11438435890672 in words is "eleven trillion, four hundred thirty-eight billion, four hundred thirty-five million, eight hundred ninety thousand, six hundred seventy-two".