144271249632 has 384 divisors, whose sum is σ = 459667353600. Its totient is φ = 43846852608.

The previous prime is 144271249627. The next prime is 144271249657. The reversal of 144271249632 is 236942172441.

144271249632 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 7 + 1 + 2 + 4 + 9 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71103594 + ... + 71105622.

It is an arithmetic number, because the mean of its divisors is an integer number (1197050400).

Almost surely, 2^144271249632 is an apocalyptic number.

144271249632 is a gapful number since it is divisible by the number (12) 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 144271249632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229833676800).

144271249632 is an abundant number, since it is smaller than the sum of its proper divisors (315396103968).

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

144271249632 is a wasteful number, since it uses less digits than its factorization.

144271249632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2201 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 144271249632 in words is "one hundred forty-four billion, two hundred seventy-one million, two hundred forty-nine thousand, six hundred thirty-two".