141981369600 has 432 divisors, whose sum is σ = 543085240320. Its totient is φ = 31993651200.

The previous prime is 141981369571. The next prime is 141981369601. The reversal of 141981369600 is 6963189141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 141981369600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141981369601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9534961 + ... + 9549839.

It is an arithmetic number, because the mean of its divisors is an integer number (1257141760).

Almost surely, 2^141981369600 is an apocalyptic number.

141981369600 is a gapful number since it is divisible by the number (10) 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 141981369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271542620160).

141981369600 is an abundant number, since it is smaller than the sum of its proper divisors (401103870720).

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

141981369600 is a wasteful number, since it uses less digits than its factorization.

141981369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14986 (or 14967 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 141981369600 in words is "one hundred forty-one billion, nine hundred eighty-one million, three hundred sixty-nine thousand, six hundred".