144851628672 has 160 divisors (see below), whose sum is σ = 434181686400. Its totient is φ = 47936033280.

The previous prime is 144851628667. The next prime is 144851628683. The reversal of 144851628672 is 276826158441.

144851628672 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 5 + 1 + 628 + 6 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1390897 + ... + 1491407.

It is an arithmetic number, because the mean of its divisors is an integer number (2713635540).

Almost surely, 2^144851628672 is an apocalyptic number.

144851628672 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 144851628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217090843200).

144851628672 is an abundant number, since it is smaller than the sum of its proper divisors (289330057728).

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

144851628672 is a wasteful number, since it uses less digits than its factorization.

144851628672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100676 (or 100655 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 144851628672 in words is "one hundred forty-four billion, eight hundred fifty-one million, six hundred twenty-eight thousand, six hundred seventy-two".