11920545721344 has 352 divisors, whose sum is σ = 35667187395840. Its totient is φ = 3514304102400.

The previous prime is 11920545721339. The next prime is 11920545721367. The reversal of 11920545721344 is 44312754502911.

11920545721344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11920545721293 and 11920545721302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151677579 + ... + 151756149.

It is an arithmetic number, because the mean of its divisors is an integer number (101327236920).

Almost surely, 2^{11920545721344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11920545721344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833593697920).

11920545721344 is an abundant number, since it is smaller than the sum of its proper divisors (23746641674496).

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

11920545721344 is a wasteful number, since it uses less digits than its factorization.

11920545721344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78767 (or 78749 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 11920545721344 in words is "eleven trillion, nine hundred twenty billion, five hundred forty-five million, seven hundred twenty-one thousand, three hundred forty-four".