144904094160 has 320 divisors, whose sum is σ = 522960814080. Its totient is φ = 32507504640.

The previous prime is 144904094147. The next prime is 144904094171. The reversal of 144904094160 is 61490409441.

It is a super-2 number, since 2×144904094160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22957405 + ... + 22963715.

It is an arithmetic number, because the mean of its divisors is an integer number (1634252544).

Almost surely, 2^144904094160 is an apocalyptic number.

144904094160 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 144904094160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261480407040).

144904094160 is an abundant number, since it is smaller than the sum of its proper divisors (378056719920).

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

144904094160 is a wasteful number, since it uses less digits than its factorization.

144904094160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 144904094160 in words is "one hundred forty-four billion, nine hundred four million, ninety-four thousand, one hundred sixty".