144224692992 has 144 divisors (see below), whose sum is σ = 426891280480. Its totient is φ = 48030547968.

The previous prime is 144224692991. The next prime is 144224693009. The reversal of 144224692992 is 299296422441.

144224692992 is a `hidden beast` number, since 1 + 4 + 422 + 46 + 92 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (144224692991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7960488 + ... + 7978584.

Almost surely, 2^144224692992 is an apocalyptic number.

144224692992 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 144224692992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213445640240).

144224692992 is an abundant number, since it is smaller than the sum of its proper divisors (282666587488).

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

144224692992 is a wasteful number, since it uses less digits than its factorization.

144224692992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19275 (or 19255 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 144224692992 in words is "one hundred forty-four billion, two hundred twenty-four million, six hundred ninety-two thousand, nine hundred ninety-two".