11857418466432 has 768 divisors, whose sum is σ = 43051990924800. Its totient is φ = 2849856307200.

The previous prime is 11857418466379. The next prime is 11857418466437. The reversal of 11857418466432 is 23466481475811.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11857418466437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169064332 + ... + 169134452.

It is an arithmetic number, because the mean of its divisors is an integer number (56057279850).

Almost surely, 2^{11857418466432} is an apocalyptic number.

11857418466432 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 11857418466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21525995462400).

11857418466432 is an abundant number, since it is smaller than the sum of its proper divisors (31194572458368).

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

11857418466432 is a wasteful number, since it uses less digits than its factorization.

11857418466432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70225 (or 70206 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 60.

The spelling of 11857418466432 in words is "eleven trillion, eight hundred fifty-seven billion, four hundred eighteen million, four hundred sixty-six thousand, four hundred thirty-two".