10411864848 has 640 divisors, whose sum is σ = 40225996800. Its totient is φ = 2497651200.

The previous prime is 10411864823. The next prime is 10411864877. The reversal of 10411864848 is 84846811401.

It is a super-2 number, since 2×10411864848² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23717013 + ... + 23717451.

It is an arithmetic number, because the mean of its divisors is an integer number (62853120).

Almost surely, 2^10411864848 is an apocalyptic number.

10411864848 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 10411864848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20112998400).

10411864848 is an abundant number, since it is smaller than the sum of its proper divisors (29814131952).

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

10411864848 is a wasteful number, since it uses less digits than its factorization.

10411864848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 10411864848 in words is "ten billion, four hundred eleven million, eight hundred sixty-four thousand, eight hundred forty-eight".