14035249152 has 144 divisors (see below), whose sum is σ = 42300105120. Its totient is φ = 4474871808.

The previous prime is 14035249139. The next prime is 14035249159. The reversal of 14035249152 is 25194253041.

14035249152 is a `hidden beast` number, since 1 + 40 + 3 + 524 + 91 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14035249159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 407383 + ... + 440489.

It is an arithmetic number, because the mean of its divisors is an integer number (293750730).

Almost surely, 2^14035249152 is an apocalyptic number.

14035249152 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 14035249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150052560).

14035249152 is an abundant number, since it is smaller than the sum of its proper divisors (28264855968).

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

14035249152 is a wasteful number, since it uses less digits than its factorization.

14035249152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33158 (or 33135 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 14035249152 in words is "fourteen billion, thirty-five million, two hundred forty-nine thousand, one hundred fifty-two".