144633142036320 has 288 divisors, whose sum is σ = 544301819857152. Its totient is φ = 31621655510016.

The previous prime is 144633142036309. The next prime is 144633142036337. The reversal of 144633142036320 is 23630241336441.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38908362 + ... + 42463241.

It is an arithmetic number, because the mean of its divisors is an integer number (1889936874504).

Almost surely, 2^{144633142036320} is an apocalyptic number.

144633142036320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144633142036320 is an abundant number, since it is smaller than the sum of its proper divisors (399668677820832).

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

144633142036320 is a wasteful number, since it uses less digits than its factorization.

144633142036320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81371674 (or 81371643 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 144633142036320 in words is "one hundred forty-four trillion, six hundred thirty-three billion, one hundred forty-two million, thirty-six thousand, three hundred twenty".