144268830720 has 576 divisors, whose sum is σ = 575612593920. Its totient is φ = 32735232000.

The previous prime is 144268830697. The next prime is 144268830767. The reversal of 144268830720 is 27038862441.

It is a happy number.

144268830720 is a `hidden beast` number, since 1 + 442 + 68 + 83 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97412380 + ... + 97413860.

It is an arithmetic number, because the mean of its divisors is an integer number (999327420).

Almost surely, 2^144268830720 is an apocalyptic number.

144268830720 is a gapful number since it is divisible by the number (10) 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 144268830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287806296960).

144268830720 is an abundant number, since it is smaller than the sum of its proper divisors (431343763200).

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

144268830720 is a wasteful number, since it uses less digits than its factorization.

144268830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 144268830720 in words is "one hundred forty-four billion, two hundred sixty-eight million, eight hundred thirty thousand, seven hundred twenty".