144671143680 has 1728 divisors, whose sum is σ = 642829824000. Its totient is φ = 29912924160.

The previous prime is 144671143679. The next prime is 144671143711. The reversal of 144671143680 is 86341176441.

144671143680 is a `hidden beast` number, since 1 + 446 + 7 + 1 + 143 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3078109417 + ... + 3078109463.

It is an arithmetic number, because the mean of its divisors is an integer number (372008000).

Almost surely, 2^144671143680 is an apocalyptic number.

144671143680 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 144671143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321414912000).

144671143680 is an abundant number, since it is smaller than the sum of its proper divisors (498158680320).

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

144671143680 is a wasteful number, since it uses less digits than its factorization.

144671143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 144671143680 in words is "one hundred forty-four billion, six hundred seventy-one million, one hundred forty-three thousand, six hundred eighty".