144761821801480 has 64 divisors (see below), whose sum is σ = 371402502110640. Its totient is φ = 50306370650112.

The previous prime is 144761821801477. The next prime is 144761821801549. The reversal of 144761821801480 is 84108128167441.

144761821801480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 65201522964516 + 79560298836964 = 8074746^2 + 8919658^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8187877009 + ... + 8187894688.

Almost surely, 2^{144761821801480} is an apocalyptic number.

144761821801480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144761821801480 is an abundant number, since it is smaller than the sum of its proper divisors (226640680309160).

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

144761821801480 is a wasteful number, since it uses less digits than its factorization.

144761821801480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16375771738 (or 16375771734 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 55.

The spelling of 144761821801480 in words is "one hundred forty-four trillion, seven hundred sixty-one billion, eight hundred twenty-one million, eight hundred one thousand, four hundred eighty".