10641292567848 has 192 divisors, whose sum is σ = 30902089842000. Its totient is φ = 3296254427136.

The previous prime is 10641292567757. The next prime is 10641292567877. The reversal of 10641292567848 is 84876529214601.

It is a happy number.

10641292567848 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 29 + 2 + 567 + 8 + 48 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 675161309124 + 9966131258724 = 821682^2 + 3156918^2 .

It is a super-2 number, since 2×10641292567848² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77166736 + ... + 77304512.

Almost surely, 2^{10641292567848} is an apocalyptic number.

10641292567848 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 10641292567848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451044921000).

10641292567848 is an abundant number, since it is smaller than the sum of its proper divisors (20260797274152).

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

10641292567848 is a wasteful number, since it uses less digits than its factorization.

10641292567848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138604 (or 138597 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 10641292567848 in words is "ten trillion, six hundred forty-one billion, two hundred ninety-two million, five hundred sixty-seven thousand, eight hundred forty-eight".