14164153477542 has 128 divisors (see below), whose sum is σ = 32247804810240. Its totient is φ = 4607003520000.

The previous prime is 14164153477531. The next prime is 14164153477547. The reversal of 14164153477542 is 24577435146141.

14164153477542 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 4 + 1 + 53 + 47 + 7 + 542 = 666.

14164153477542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14164153477547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301488033 + ... + 1301498915.

It is an arithmetic number, because the mean of its divisors is an integer number (251935975080).

Almost surely, 2^{14164153477542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14164153477542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123902405120).

14164153477542 is an abundant number, since it is smaller than the sum of its proper divisors (18083651332698).

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

14164153477542 is a wasteful number, since it uses less digits than its factorization.

14164153477542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14427 (or 14421 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 14164153477542 in words is "fourteen trillion, one hundred sixty-four billion, one hundred fifty-three million, four hundred seventy-seven thousand, five hundred forty-two".