1144415118672 has 400 divisors, whose sum is σ = 3814782124032. Its totient is φ = 324451733760.

The previous prime is 1144415118619. The next prime is 1144415118683. The reversal of 1144415118672 is 2768115144411.

1144415118672 is a `hidden beast` number, since 1 + 14 + 4 + 41 + 511 + 86 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1183469133 + ... + 1183470099.

Almost surely, 2^{1144415118672} is an apocalyptic number.

1144415118672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144415118672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907391062016).

1144415118672 is an abundant number, since it is smaller than the sum of its proper divisors (2670367005360).

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

1144415118672 is a wasteful number, since it uses less digits than its factorization.

1144415118672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1853 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 1144415118672 in words is "one trillion, one hundred forty-four billion, four hundred fifteen million, one hundred eighteen thousand, six hundred seventy-two".