144972226656 has 240 divisors, whose sum is σ = 445321633680. Its totient is φ = 46219299840.

The previous prime is 144972226583. The next prime is 144972226673. The reversal of 144972226656 is 656622279441.

144972226656 is a `hidden beast` number, since 1 + 449 + 72 + 22 + 66 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5645526 + ... + 5671146.

It is an arithmetic number, because the mean of its divisors is an integer number (1855506807).

Almost surely, 2^144972226656 is an apocalyptic number.

144972226656 is a gapful number since it is divisible by the number (16) 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 144972226656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222660816840).

144972226656 is an abundant number, since it is smaller than the sum of its proper divisors (300349407024).

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

144972226656 is a wasteful number, since it uses less digits than its factorization.

144972226656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25739 (or 25722 counting only the distinct ones).

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

The spelling of 144972226656 in words is "one hundred forty-four billion, nine hundred seventy-two million, two hundred twenty-six thousand, six hundred fifty-six".