144728992296 has 288 divisors, whose sum is σ = 493583976000. Its totient is φ = 39173730624.

The previous prime is 144728992249. The next prime is 144728992307. The reversal of 144728992296 is 692299827441.

144728992296 is a `hidden beast` number, since 1 + 447 + 2 + 89 + 9 + 22 + 96 = 666.

It is a super-2 number, since 2×144728992296² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3801885 + ... + 3839763.

It is an arithmetic number, because the mean of its divisors is an integer number (1713833250).

Almost surely, 2^144728992296 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 144728992296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246791988000).

144728992296 is an abundant number, since it is smaller than the sum of its proper divisors (348854983704).

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

144728992296 is a wasteful number, since it uses less digits than its factorization.

144728992296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37946 (or 37910 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 144728992296 in words is "one hundred forty-four billion, seven hundred twenty-eight million, nine hundred ninety-two thousand, two hundred ninety-six".