10142350848 has 800 divisors, whose sum is σ = 38026137600. Its totient is φ = 2682408960.

The previous prime is 10142350847. The next prime is 10142350951. The reversal of 10142350848 is 84805324101.

10142350848 is a `hidden beast` number, since 1 + 0 + 142 + 3 + 508 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142350847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 327172593 + ... + 327172623.

It is an arithmetic number, because the mean of its divisors is an integer number (47532672).

Almost surely, 2^10142350848 is an apocalyptic number.

10142350848 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 10142350848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19013068800).

10142350848 is an abundant number, since it is smaller than the sum of its proper divisors (27883786752).

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

10142350848 is an frugal number, since it uses more digits than its factorization.

10142350848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 10142350848 its reverse (84805324101), we get a palindrome (94947674949).

The spelling of 10142350848 in words is "ten billion, one hundred forty-two million, three hundred fifty thousand, eight hundred forty-eight".