10138651848 has 128 divisors (see below), whose sum is σ = 30642796800. Its totient is φ = 3087341568.

The previous prime is 10138651771. The next prime is 10138651849. The reversal of 10138651848 is 84815683101.

10138651848 is a `hidden beast` number, since 1 + 0 + 13 + 86 + 518 + 48 = 666.

It is a super-2 number, since 2×10138651848² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10138651849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253765 + ... + 290987.

It is an arithmetic number, because the mean of its divisors is an integer number (239396850).

Almost surely, 2^10138651848 is an apocalyptic number.

10138651848 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 10138651848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321398400).

10138651848 is an abundant number, since it is smaller than the sum of its proper divisors (20504144952).

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

10138651848 is a wasteful number, since it uses less digits than its factorization.

10138651848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37348 (or 37338 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 10138651848 in words is "ten billion, one hundred thirty-eight million, six hundred fifty-one thousand, eight hundred forty-eight".