10267342848 has 576 divisors, whose sum is σ = 37286645760. Its totient is φ = 2654208000.

The previous prime is 10267342847. The next prime is 10267342871. The reversal of 10267342848 is 84824376201.

It is a happy number.

10267342848 is a `hidden beast` number, since 1 + 0 + 267 + 342 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10267342848² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10267342847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67995573 + ... + 67995723.

It is an arithmetic number, because the mean of its divisors is an integer number (64733760).

Almost surely, 2^10267342848 is an apocalyptic number.

10267342848 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 10267342848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18643322880).

10267342848 is an abundant number, since it is smaller than the sum of its proper divisors (27019302912).

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

10267342848 is a wasteful number, since it uses less digits than its factorization.

10267342848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10267342848 in words is "ten billion, two hundred sixty-seven million, three hundred forty-two thousand, eight hundred forty-eight".