141977432016 has 640 divisors, whose sum is σ = 508184616960. Its totient is φ = 37032173568.

The previous prime is 141977431987. The next prime is 141977432071. The reversal of 141977432016 is 610234779141.

It is a happy number.

141977432016 is a `hidden beast` number, since 14 + 197 + 7 + 432 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 291534525 + ... + 291535011.

It is an arithmetic number, because the mean of its divisors is an integer number (794038464).

Almost surely, 2^141977432016 is an apocalyptic number.

141977432016 is a gapful number since it is divisible by the number (16) 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 141977432016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254092308480).

141977432016 is an abundant number, since it is smaller than the sum of its proper divisors (366207184944).

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

141977432016 is a wasteful number, since it uses less digits than its factorization.

141977432016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 141977432016 in words is "one hundred forty-one billion, nine hundred seventy-seven million, four hundred thirty-two thousand, sixteen".