144142622712 has 320 divisors, whose sum is σ = 445482892800. Its totient is φ = 43182720000.

The previous prime is 144142622707. The next prime is 144142622737. The reversal of 144142622712 is 217226241441.

144142622712 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 426 + 227 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 359457712 + ... + 359458112.

It is an arithmetic number, because the mean of its divisors is an integer number (1392134040).

Almost surely, 2^144142622712 is an apocalyptic number.

144142622712 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 144142622712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222741446400).

144142622712 is an abundant number, since it is smaller than the sum of its proper divisors (301340270088).

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

144142622712 is a wasteful number, since it uses less digits than its factorization.

144142622712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 144142622712 in words is "one hundred forty-four billion, one hundred forty-two million, six hundred twenty-two thousand, seven hundred twelve".