10748541902112 has 288 divisors, whose sum is σ = 35717813913600. Its totient is φ = 3002149522944.

The previous prime is 10748541902089. The next prime is 10748541902191. The reversal of 10748541902112 is 21120914584701.

It is a happy number.

10748541902112 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 8 + 541 + 90 + 2 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81325939 + ... + 81457997.

It is an arithmetic number, because the mean of its divisors is an integer number (124020187200).

Almost surely, 2^{10748541902112} is an apocalyptic number.

10748541902112 is a gapful number since it is divisible by the number (12) 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 10748541902112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858906956800).

10748541902112 is an abundant number, since it is smaller than the sum of its proper divisors (24969272011488).

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

10748541902112 is a wasteful number, since it uses less digits than its factorization.

10748541902112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132988 (or 132977 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10748541902112 in words is "ten trillion, seven hundred forty-eight billion, five hundred forty-one million, nine hundred two thousand, one hundred twelve".