11490313968000 has 1280 divisors, whose sum is σ = 49461522739200. Its totient is φ = 2589221376000.

The previous prime is 11490313967969. The next prime is 11490313968011. The reversal of 11490313968000 is 86931309411.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 644103081 + ... + 644120919.

It is an arithmetic number, because the mean of its divisors is an integer number (38641814640).

Almost surely, 2^{11490313968000} is an apocalyptic number.

11490313968000 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 11490313968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24730761369600).

11490313968000 is an abundant number, since it is smaller than the sum of its proper divisors (37971208771200).

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

11490313968000 is an equidigital number, since it uses as much as digits as its factorization.

11490313968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17958 (or 17927 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 11490313968000 in words is "eleven trillion, four hundred ninety billion, three hundred thirteen million, nine hundred sixty-eight thousand".