1944451758096 has 135 divisors (see below), whose sum is σ = 5637288787741. Its totient is φ = 625644388992.

The previous prime is 1944451758089. The next prime is 1944451758131. The reversal of 1944451758096 is 6908571544491.

The square root of 1944451758096 is 1394436.

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

1944451758096 is a `hidden beast` number, since 1 + 9 + 4 + 4 + 45 + 1 + 7 + 580 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1019623335696 + 924828422400 = 1009764^2 + 961680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 485261725 + ... + 485265731.

Almost surely, 2^{1944451758096} is an apocalyptic number.

1944451758096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1944451758096 is the 1394436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1944451758096

1944451758096 is an abundant number, since it is smaller than the sum of its proper divisors (3692837029645).

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

1944451758096 is an frugal number, since it uses more digits than its factorization.

1944451758096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8086 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 1944451758096 in words is "one trillion, nine hundred forty-four billion, four hundred fifty-one million, seven hundred fifty-eight thousand, ninety-six".