1144147120448 has 224 divisors, whose sum is σ = 2458300465152. Its totient is φ = 527003136000.

The previous prime is 1144147120427. The next prime is 1144147120463. The reversal of 1144147120448 is 8440217414411.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2032232615 + ... + 2032233177.

It is an arithmetic number, because the mean of its divisors is an integer number (10974555648).

Almost surely, 2^{1144147120448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144147120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229150232576).

1144147120448 is an abundant number, since it is smaller than the sum of its proper divisors (1314153344704).

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

1144147120448 is a wasteful number, since it uses less digits than its factorization.

1144147120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 41.

The spelling of 1144147120448 in words is "one trillion, one hundred forty-four billion, one hundred forty-seven million, one hundred twenty thousand, four hundred forty-eight".