1101973446144 has 240 divisors, whose sum is σ = 3270015571680. Its totient is φ = 356993187840.

The previous prime is 1101973446139. The next prime is 1101973446193. The reversal of 1101973446144 is 4416443791011.

1101973446144 is a `hidden beast` number, since 1 + 1 + 0 + 197 + 3 + 446 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1101973446144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175778242 + ... + 175784510.

It is an arithmetic number, because the mean of its divisors is an integer number (13625064882).

Almost surely, 2^{1101973446144} 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 1101973446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635007785840).

1101973446144 is an abundant number, since it is smaller than the sum of its proper divisors (2168042125536).

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

1101973446144 is a wasteful number, since it uses less digits than its factorization.

1101973446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7361 (or 7342 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1101973446144 in words is "one trillion, one hundred one billion, nine hundred seventy-three million, four hundred forty-six thousand, one hundred forty-four".