2381948531136 has 224 divisors, whose sum is σ = 7309653412160. Its totient is φ = 759858278400.

The previous prime is 2381948531129. The next prime is 2381948531153. The reversal of 2381948531136 is 6311358491832.

It is a happy number.

2381948531136 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 94 + 8 + 531 + 13 + 6 = 666.

It is a super-2 number, since 2×2381948531136² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3594726 + ... + 4205466.

Almost surely, 2^{2381948531136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2381948531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654826706080).

2381948531136 is an abundant number, since it is smaller than the sum of its proper divisors (4927704881024).

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

2381948531136 is a wasteful number, since it uses less digits than its factorization.

2381948531136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610860 (or 610844 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 2381948531136 in words is "two trillion, three hundred eighty-one billion, nine hundred forty-eight million, five hundred thirty-one thousand, one hundred thirty-six".