10848011616 has 384 divisors, whose sum is σ = 35277742080. Its totient is φ = 3222374400.

The previous prime is 10848011561. The next prime is 10848011621. The reversal of 10848011616 is 61611084801.

10848011616 is a `hidden beast` number, since 10 + 8 + 480 + 1 + 161 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48645681 + ... + 48645903.

It is an arithmetic number, because the mean of its divisors is an integer number (91869120).

Almost surely, 2^10848011616 is an apocalyptic number.

10848011616 is a gapful number since it is divisible by the number (16) 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 10848011616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17638871040).

10848011616 is an abundant number, since it is smaller than the sum of its proper divisors (24429730464).

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

10848011616 is a wasteful number, since it uses less digits than its factorization.

10848011616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10848011616 in words is "ten billion, eight hundred forty-eight million, eleven thousand, six hundred sixteen".