144314758900 has 72 divisors (see below), whose sum is σ = 341521752320. Its totient is φ = 52610912640.

The previous prime is 144314758891. The next prime is 144314758901. The reversal of 144314758900 is 9857413441.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144314758901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599904 + ... + 805303.

Almost surely, 2^144314758900 is an apocalyptic number.

144314758900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144314758900 is an abundant number, since it is smaller than the sum of its proper divisors (197206993420).

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

144314758900 is a wasteful number, since it uses less digits than its factorization.

144314758900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405313 (or 1405306 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 144314758900 in words is "one hundred forty-four billion, three hundred fourteen million, seven hundred fifty-eight thousand, nine hundred".