144693210507264 has 72 divisors (see below), whose sum is σ = 417900556767330. Its totient is φ = 48231070162944.

The previous prime is 144693210507233. The next prime is 144693210507271. The reversal of 144693210507264 is 462705012396441.

144693210507264 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 9 + 321 + 0 + 50 + 7 + 264 = 666.

144693210507264 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 only one way, i.e., 117414735012864 + 27278475494400 = 10835808^2 + 5222880^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×144693210507264² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144693210507264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3925036107 + ... + 3925072970.

Almost surely, 2^{144693210507264} is an apocalyptic number.

It is an amenable number.

144693210507264 is an abundant number, since it is smaller than the sum of its proper divisors (273207346260066).

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

144693210507264 is an equidigital number, since it uses as much as digits as its factorization.

144693210507264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7850109105 (or 7850109082 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 144693210507264 in words is "one hundred forty-four trillion, six hundred ninety-three billion, two hundred ten million, five hundred seven thousand, two hundred sixty-four".