144700705055712 has 192 divisors, whose sum is σ = 409360112050176. Its totient is φ = 44490398515200.

The previous prime is 144700705055707. The next prime is 144700705055737. The reversal of 144700705055712 is 217550507007441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14044516353 + ... + 14044526655.

It is an arithmetic number, because the mean of its divisors is an integer number (2132083916928).

Almost surely, 2^{144700705055712} is an apocalyptic number.

144700705055712 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 144700705055712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204680056025088).

144700705055712 is an abundant number, since it is smaller than the sum of its proper divisors (264659406994464).

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

144700705055712 is a wasteful number, since it uses less digits than its factorization.

144700705055712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17553 (or 17545 counting only the distinct ones).

The product of its (nonzero) digits is 1372000, while the sum is 48.

The spelling of 144700705055712 in words is "one hundred forty-four trillion, seven hundred billion, seven hundred five million, fifty-five thousand, seven hundred twelve".