144594861264 has 300 divisors, whose sum is σ = 512452617600. Its totient is φ = 39138132096.

The previous prime is 144594861209. The next prime is 144594861287. The reversal of 144594861264 is 462168495441.

144594861264 is a `hidden beast` number, since 1 + 44 + 59 + 486 + 12 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 144594861264.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 1146657 + ... + 1266495.

It is an arithmetic number, because the mean of its divisors is an integer number (1708175392).

Almost surely, 2^144594861264 is an apocalyptic number.

144594861264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144594861264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256226308800).

144594861264 is an abundant number, since it is smaller than the sum of its proper divisors (367857756336).

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

144594861264 is a wasteful number, since it uses less digits than its factorization.

144594861264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119892 (or 119870 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 144594861264 in words is "one hundred forty-four billion, five hundred ninety-four million, eight hundred sixty-one thousand, two hundred sixty-four".