144054554112 has 640 divisors, whose sum is σ = 500467968000. Its totient is φ = 40067923968.

The previous prime is 144054554089. The next prime is 144054554123. The reversal of 144054554112 is 211455450441.

144054554112 is a `hidden beast` number, since 1 + 4 + 40 + 54 + 554 + 1 + 12 = 666.

It is a super-2 number, since 2×144054554112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966809014 + ... + 966809162.

It is an arithmetic number, because the mean of its divisors is an integer number (781981200).

Almost surely, 2^144054554112 is an apocalyptic number.

144054554112 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 144054554112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250233984000).

144054554112 is an abundant number, since it is smaller than the sum of its proper divisors (356413413888).

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

144054554112 is a wasteful number, since it uses less digits than its factorization.

144054554112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 144054554112 in words is "one hundred forty-four billion, fifty-four million, five hundred fifty-four thousand, one hundred twelve".