10948920444 has 288 divisors, whose sum is σ = 36330577920. Its totient is φ = 2819577600.

The previous prime is 10948920443. The next prime is 10948920469. The reversal of 10948920444 is 44402984901.

10948920444 is a `hidden beast` number, since 109 + 4 + 89 + 20 + 444 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10948920444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10948920443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7392184 + ... + 7393664.

It is an arithmetic number, because the mean of its divisors is an integer number (126147840).

Almost surely, 2^10948920444 is an apocalyptic number.

10948920444 is a gapful number since it is divisible by the number (14) 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 10948920444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18165288960).

10948920444 is an abundant number, since it is smaller than the sum of its proper divisors (25381657476).

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

10948920444 is a wasteful number, since it uses less digits than its factorization.

10948920444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10948920444 in words is "ten billion, nine hundred forty-eight million, nine hundred twenty thousand, four hundred forty-four".