144893473920 has 512 divisors, whose sum is σ = 559531526400. Its totient is φ = 35661606912.

The previous prime is 144893473919. The next prime is 144893474009. The reversal of 144893473920 is 29374398441.

144893473920 is a `hidden beast` number, since 1 + 4 + 4 + 89 + 3 + 473 + 92 + 0 = 666.

144893473920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 18191859 + ... + 18199821.

Almost surely, 2^144893473920 is an apocalyptic number.

144893473920 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 144893473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279765763200).

144893473920 is an abundant number, since it is smaller than the sum of its proper divisors (414638052480).

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

144893473920 is an frugal number, since it uses more digits than its factorization.

144893473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8016 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 144893473920 in words is "one hundred forty-four billion, eight hundred ninety-three million, four hundred seventy-three thousand, nine hundred twenty".