11846340000 has 720 divisors, whose sum is σ = 47650546944. Its totient is φ = 2764800000.

The previous prime is 11846339983. The next prime is 11846340017. The reversal of 11846340000 is 4364811.

It is an interprime number because it is at equal distance from previous prime (11846339983) and next prime (11846340017).

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61379904 + ... + 61380096.

Almost surely, 2^11846340000 is an apocalyptic number.

11846340000 is a gapful number since it is divisible by the number (10) 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 11846340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23825273472).

11846340000 is an abundant number, since it is smaller than the sum of its proper divisors (35804206944).

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

11846340000 is a wasteful number, since it uses less digits than its factorization.

11846340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11846340000 in words is "eleven billion, eight hundred forty-six million, three hundred forty thousand".