14431387950 has 384 divisors, whose sum is σ = 48179773440. Its totient is φ = 3104956800.

The previous prime is 14431387937. The next prime is 14431387951. The reversal of 14431387950 is 5978313441.

14431387950 is a `hidden beast` number, since 1 + 443 + 138 + 79 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 14431387896 and 14431387905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14431387951) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14561955 + ... + 14562945.

It is an arithmetic number, because the mean of its divisors is an integer number (125468160).

Almost surely, 2^14431387950 is an apocalyptic number.

14431387950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14431387950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24089886720).

14431387950 is an abundant number, since it is smaller than the sum of its proper divisors (33748385490).

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

14431387950 is a wasteful number, since it uses less digits than its factorization.

14431387950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 14431387950 in words is "fourteen billion, four hundred thirty-one million, three hundred eighty-seven thousand, nine hundred fifty".