141616464 has 120 divisors (see below), whose sum is σ = 413619360. Its totient is φ = 41690880.

The previous prime is 141616439. The next prime is 141616469. The reversal of 141616464 is 464616141.

141616464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141616469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214567 + ... + 215225.

It is an arithmetic number, because the mean of its divisors is an integer number (3446828).

Almost surely, 2^141616464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141616464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206809680).

141616464 is an abundant number, since it is smaller than the sum of its proper divisors (272002896).

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

141616464 is a wasteful number, since it uses less digits than its factorization.

141616464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 712 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 141616464 is about 11900.2715935394. The cubic root of 141616464 is about 521.2402152411.

It can be divided in two parts, 141 and 616464, that added together give a triangular number (616605 = T₁₁₁₀).

The spelling of 141616464 in words is "one hundred forty-one million, six hundred sixteen thousand, four hundred sixty-four".