1923735712144 has 45 divisors (see below), whose sum is σ = 3756126691681. Its totient is φ = 954469662080.

The previous prime is 1923735712141. The next prime is 1923735712163. The reversal of 1923735712144 is 4412175373291.

The square root of 1923735712144 is 1386988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1130011520400 + 793724191744 = 1063020^2 + 890912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1923735712141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 760068159 + ... + 760070689.

Almost surely, 2^{1923735712144} is an apocalyptic number.

1923735712144 is the 1386988-th square number.

It is an amenable number.

1923735712144 is a deficient number, since it is larger than the sum of its proper divisors (1832390979537).

1923735712144 is an frugal number, since it uses more digits than its factorization.

1923735712144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 2670 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 49.

Multiplying 1923735712144 by its sum of digits (49), we get a square (94263049895056 = 9708916²).

The spelling of 1923735712144 in words is "one trillion, nine hundred twenty-three billion, seven hundred thirty-five million, seven hundred twelve thousand, one hundred forty-four".