1144463481616 has 135 divisors (see below), whose sum is σ = 2794052781621. Its totient is φ = 452600733312.

The previous prime is 1144463481587. The next prime is 1144463481631. The reversal of 1144463481616 is 6161843644411.

The square root of 1144463481616 is 1069796.

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., 169299331600 + 975164150016 = 411460^2 + 987504^2 .

It is a super-3 number, since 3×1144463481616³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1144463481616.

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, 389404275 + ... + 389407213.

Almost surely, 2^{1144463481616} is an apocalyptic number.

1144463481616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1144463481616 is the 1069796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144463481616

1144463481616 is an abundant number, since it is smaller than the sum of its proper divisors (1649589300005).

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

1144463481616 is an frugal number, since it uses more digits than its factorization.

1144463481616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 2961 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 49.

Multiplying 1144463481616 by its sum of digits (49), we get a square (56078710599184 = 7488572²).

1144463481616 divided by its sum of digits (49) gives a square (23356397584 = 152828²).

The spelling of 1144463481616 in words is "one trillion, one hundred forty-four billion, four hundred sixty-three million, four hundred eighty-one thousand, six hundred sixteen".