10948491648000 has 1056 divisors, whose sum is σ = 41401705468032. Its totient is φ = 2776891392000.

The previous prime is 10948491647993. The next prime is 10948491648001. The reversal of 10948491648000 is 84619484901.

It is a happy number.

10948491648000 is a `hidden beast` number, since 1 + 0 + 94 + 8 + 491 + 64 + 8 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10948491648001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5113726930 + ... + 5113729070.

Almost surely, 2^{10948491648000} is an apocalyptic number.

10948491648000 is a gapful number since it is divisible by the number (10) 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 10948491648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20700852734016).

10948491648000 is an abundant number, since it is smaller than the sum of its proper divisors (30453213820032).

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

10948491648000 is a wasteful number, since it uses less digits than its factorization.

10948491648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 10948491648000 in words is "ten trillion, nine hundred forty-eight billion, four hundred ninety-one million, six hundred forty-eight thousand".