10846154016 has 240 divisors, whose sum is σ = 33106993920. Its totient is φ = 3479708160.

The previous prime is 10846153993. The next prime is 10846154017. The reversal of 10846154016 is 61045164801.

10846154016 is a `hidden beast` number, since 108 + 4 + 6 + 1 + 540 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10846154017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27881950 + ... + 27882338.

It is an arithmetic number, because the mean of its divisors is an integer number (137945808).

Almost surely, 2^10846154016 is an apocalyptic number.

10846154016 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 10846154016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16553496960).

10846154016 is an abundant number, since it is smaller than the sum of its proper divisors (22260839904).

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

10846154016 is a wasteful number, since it uses less digits than its factorization.

10846154016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10846154016 in words is "ten billion, eight hundred forty-six million, one hundred fifty-four thousand, sixteen".