144991883520 has 576 divisors, whose sum is σ = 563117748480. Its totient is φ = 35035545600.

The previous prime is 144991883489. The next prime is 144991883537. The reversal of 144991883520 is 25388199441.

It is a happy number.

144991883520 is a `hidden beast` number, since 1 + 449 + 91 + 88 + 35 + 2 + 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219351990 + ... + 219352650.

It is an arithmetic number, because the mean of its divisors is an integer number (977634980).

Almost surely, 2^144991883520 is an apocalyptic number.

144991883520 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 144991883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281558874240).

144991883520 is an abundant number, since it is smaller than the sum of its proper divisors (418125864960).

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

144991883520 is a wasteful number, since it uses less digits than its factorization.

144991883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 144991883520 in words is "one hundred forty-four billion, nine hundred ninety-one million, eight hundred eighty-three thousand, five hundred twenty".