11848861719552 has 1584 divisors, whose sum is σ = 41137878675456. Its totient is φ = 2995008307200.

The previous prime is 11848861719547. The next prime is 11848861719577. The reversal of 11848861719552 is 25591716884811.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93298123713 + ... + 93298123839.

Almost surely, 2^{11848861719552} is an apocalyptic number.

11848861719552 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 11848861719552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20568939337728).

11848861719552 is an abundant number, since it is smaller than the sum of its proper divisors (29289016955904).

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

11848861719552 is a wasteful number, since it uses less digits than its factorization.

11848861719552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 204 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 66.

The spelling of 11848861719552 in words is "eleven trillion, eight hundred forty-eight billion, eight hundred sixty-one million, seven hundred nineteen thousand, five hundred fifty-two".