11262369408 has 128 divisors (see below), whose sum is σ = 30787516800. Its totient is φ = 3646156800.

The previous prime is 11262369401. The next prime is 11262369439. The reversal of 11262369408 is 80496326211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×11262369408³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11262369408.

It is not an unprimeable number, because it can be changed into a prime (11262369401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2052813 + ... + 2058291.

It is an arithmetic number, because the mean of its divisors is an integer number (240527475).

Almost surely, 2^11262369408 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 11262369408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15393758400).

11262369408 is an abundant number, since it is smaller than the sum of its proper divisors (19525147392).

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

11262369408 is a wasteful number, since it uses less digits than its factorization.

11262369408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5650 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 11262369408 in words is "eleven billion, two hundred sixty-two million, three hundred sixty-nine thousand, four hundred eight".