144821106414 has 80 divisors (see below), whose sum is σ = 336367253376. Its totient is φ = 46522252800.

The previous prime is 144821106349. The next prime is 144821106449. The reversal of 144821106414 is 414601128441.

144821106414 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 2 + 1 + 1 + 0 + 641 + 4 = 666.

It is a super-2 number, since 2×144821106414² (a number of 23 digits) contains 22 as substring.

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, 1150474 + ... + 1270130.

Almost surely, 2^144821106414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144821106414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168183626688).

144821106414 is an abundant number, since it is smaller than the sum of its proper divisors (191546146962).

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

144821106414 is a wasteful number, since it uses less digits than its factorization.

144821106414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119943 (or 119934 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 144821106414 in words is "one hundred forty-four billion, eight hundred twenty-one million, one hundred six thousand, four hundred fourteen".