11262432609792 has 640 divisors, whose sum is σ = 41073424465920. Its totient is φ = 2967232020480.

The previous prime is 11262432609787. The next prime is 11262432609809. The reversal of 11262432609792 is 29790623426211.

It is a happy number.

11262432609792 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 24 + 3 + 2 + 609 + 7 + 9 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1374972417 + ... + 1374980607.

It is an arithmetic number, because the mean of its divisors is an integer number (64177225728).

Almost surely, 2^{11262432609792} is an apocalyptic number.

11262432609792 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 11262432609792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20536712232960).

11262432609792 is an abundant number, since it is smaller than the sum of its proper divisors (29810991856128).

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

11262432609792 is a wasteful number, since it uses less digits than its factorization.

11262432609792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9331 (or 9309 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 11262432609792 in words is "eleven trillion, two hundred sixty-two billion, four hundred thirty-two million, six hundred nine thousand, seven hundred ninety-two".