10487338848 has 144 divisors (see below), whose sum is σ = 34551238176. Its totient is φ = 2955294720.

The previous prime is 10487338847. The next prime is 10487338861. The reversal of 10487338848 is 84883378401.

It is a happy number.

10487338848 is a `hidden beast` number, since 10 + 487 + 33 + 88 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10487338848² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10487338794 and 10487338803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10487338847) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 111538 + ... + 182798.

It is an arithmetic number, because the mean of its divisors is an integer number (239939154).

Almost surely, 2^10487338848 is an apocalyptic number.

10487338848 is a gapful number since it is divisible by the number (18) 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 10487338848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17275619088).

10487338848 is an abundant number, since it is smaller than the sum of its proper divisors (24063899328).

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

10487338848 is a wasteful number, since it uses less digits than its factorization.

10487338848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71357 (or 71346 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 10487338848 in words is "ten billion, four hundred eighty-seven million, three hundred thirty-eight thousand, eight hundred forty-eight".