11429745408 has 360 divisors, whose sum is σ = 35837247600. Its totient is φ = 3618349056.

The previous prime is 11429745407. The next prime is 11429745413. The reversal of 11429745408 is 80454792411.

11429745408 is a `hidden beast` number, since 1 + 14 + 2 + 97 + 4 + 540 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11429745407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49911438 + ... + 49911666.

It is an arithmetic number, because the mean of its divisors is an integer number (99547910).

Almost surely, 2^11429745408 is an apocalyptic number.

11429745408 is a gapful number since it is divisible by the number (18) 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 11429745408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17918623800).

11429745408 is an abundant number, since it is smaller than the sum of its proper divisors (24407502192).

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

11429745408 is an equidigital number, since it uses as much as digits as its factorization.

11429745408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11429745408 in words is "eleven billion, four hundred twenty-nine million, seven hundred forty-five thousand, four hundred eight".