144496939993344 has 135 divisors (see below), whose sum is σ = 430868891115817. Its totient is φ = 48165069671424.

The previous prime is 144496939993337. The next prime is 144496939993363. The reversal of 144496939993344 is 443399939694441.

The square root of 144496939993344 is 12020688.

It is a perfect power (a square), and thus also a powerful number.

144496939993344 is a `hidden beast` number, since 1 + 4 + 4 + 49 + 69 + 3 + 99 + 93 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133092216633600 + 11404723359744 = 11536560^2 + 3377088^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1730937334 + ... + 1731020810.

Almost surely, 2^{144496939993344} is an apocalyptic number.

144496939993344 is the 12020688-th square number.

It is an amenable number.

144496939993344 is an abundant number, since it is smaller than the sum of its proper divisors (286371951122473).

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

144496939993344 is an frugal number, since it uses more digits than its factorization.

144496939993344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166982 (or 83482 counting only the distinct ones).

The product of its digits is 9795520512, while the sum is 81.

144496939993344 divided by its sum of digits (81) gives a square (1783912839424 = 1335632²).

The spelling of 144496939993344 in words is "one hundred forty-four trillion, four hundred ninety-six billion, nine hundred thirty-nine million, nine hundred ninety-three thousand, three hundred forty-four".