144704007047700 has 54 divisors (see below), whose sum is σ = 453566670982334. Its totient is φ = 38587735212480.

The previous prime is 144704007047669. The next prime is 144704007047771. The reversal of 144704007047700 is 7740700407441.

144704007047700 is a `hidden beast` number, since 1 + 4 + 4 + 70 + 40 + 0 + 70 + 477 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23693490819216 + 121010516228484 = 4867596^2 + 11000478^2 .

It is a super-2 number, since 2×144704007047700² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 80391114127 + ... + 80391115926.

Almost surely, 2^{144704007047700} is an apocalyptic number.

144704007047700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144704007047700 is an abundant number, since it is smaller than the sum of its proper divisors (308862663934634).

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

144704007047700 is a wasteful number, since it uses less digits than its factorization.

144704007047700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160782230073 (or 160782230063 counting only the distinct ones).

The product of its (nonzero) digits is 614656, while the sum is 45.

The spelling of 144704007047700 in words is "one hundred forty-four trillion, seven hundred four billion, seven million, forty-seven thousand, seven hundred".