144786620664 has 320 divisors, whose sum is σ = 492214060800. Its totient is φ = 38840933376.

The previous prime is 144786620617. The next prime is 144786620687. The reversal of 144786620664 is 466026687441.

It is a happy number.

144786620664 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 8 + 6 + 620 + 6 + 6 + 4 = 666.

It is a super-3 number, since 3×144786620664³ (a number of 34 digits) contains 333 as substring.

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 144786620664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9731359 + ... + 9746225.

It is an arithmetic number, because the mean of its divisors is an integer number (1538168940).

Almost surely, 2^144786620664 is an apocalyptic number.

144786620664 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 144786620664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246107030400).

144786620664 is an abundant number, since it is smaller than the sum of its proper divisors (347427440136).

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

144786620664 is a wasteful number, since it uses less digits than its factorization.

144786620664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15024 (or 15011 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 144786620664 in words is "one hundred forty-four billion, seven hundred eighty-six million, six hundred twenty thousand, six hundred sixty-four".