11835914496 has 288 divisors, whose sum is σ = 37141278720. Its totient is φ = 3276177408.

The previous prime is 11835914429. The next prime is 11835914501. The reversal of 11835914496 is 69441953811.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35121240 + ... + 35121576.

Almost surely, 2^11835914496 is an apocalyptic number.

11835914496 is a gapful number since it is divisible by the number (16) 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 11835914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570639360).

11835914496 is an abundant number, since it is smaller than the sum of its proper divisors (25305364224).

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

11835914496 is a wasteful number, since it uses less digits than its factorization.

11835914496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The spelling of 11835914496 in words is "eleven billion, eight hundred thirty-five million, nine hundred fourteen thousand, four hundred ninety-six".