144274493776 has 120 divisors (see below), whose sum is σ = 356170585320. Its totient is φ = 56187887616.

The previous prime is 144274493773. The next prime is 144274493789. The reversal of 144274493776 is 677394472441.

It can be written as a sum of positive squares in 4 ways, for example, as 44784717376 + 99489776400 = 211624^2 + 315420^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 144274493776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144274493773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199876 + ... + 573148.

It is an arithmetic number, because the mean of its divisors is an integer number (2968088211).

Almost surely, 2^144274493776 is an apocalyptic number.

144274493776 is a gapful number since it is divisible by the number (16) 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 144274493776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178085292660).

144274493776 is an abundant number, since it is smaller than the sum of its proper divisors (211896091544).

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

144274493776 is a wasteful number, since it uses less digits than its factorization.

144274493776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373341 (or 373328 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 58.

The spelling of 144274493776 in words is "one hundred forty-four billion, two hundred seventy-four million, four hundred ninety-three thousand, seven hundred seventy-six".