1444900161600 has 1701 divisors, whose sum is σ = 6322674878247. Its totient is φ = 324031518720.

The previous prime is 1444900161583. The next prime is 1444900161641. The reversal of 1444900161600 is 61610094441.

The square root of 1444900161600 is 1202040.

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

1444900161600 is a `hidden beast` number, since 1 + 4 + 4 + 49 + 0 + 0 + 1 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10884331584 + 1434015830016 = 104328^2 + 1197504^2 .

It is a tau number, because it is divible by the number of its divisors (1701).

It is a super-2 number, since 2×1444900161600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 27262267174 + ... + 27262267226.

Almost surely, 2^{1444900161600} is an apocalyptic number.

1444900161600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1444900161600 is the 1202040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444900161600

1444900161600 is an abundant number, since it is smaller than the sum of its proper divisors (4877774716647).

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

1444900161600 is an frugal number, since it uses more digits than its factorization.

1444900161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 1444900161600 by its sum of digits (36), we get a square (52016405817600 = 7212240²).

1444900161600 divided by its sum of digits (36) gives a square (40136115600 = 200340²).

The spelling of 1444900161600 in words is "one trillion, four hundred forty-four billion, nine hundred million, one hundred sixty-one thousand, six hundred".