1374045206144 has 128 divisors (see below), whose sum is σ = 3005639920080. Its totient is φ = 621774766080.

The previous prime is 1374045206119. The next prime is 1374045206159. The reversal of 1374045206144 is 4416025404731.

It can be written as a sum of positive squares in 8 ways, for example, as 1062136360000 + 311908846144 = 1030600^2 + 558488^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149657234 + ... + 149666414.

Almost surely, 2^{1374045206144} 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 1374045206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502819960040).

1374045206144 is an abundant number, since it is smaller than the sum of its proper divisors (1631594713936).

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

1374045206144 is a wasteful number, since it uses less digits than its factorization.

1374045206144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10958 (or 10946 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 1374045206144 in words is "one trillion, three hundred seventy-four billion, forty-five million, two hundred six thousand, one hundred forty-four".