141129609689376 has 1728 divisors, whose sum is σ = 541820996640000. Its totient is φ = 34975875686400.

The previous prime is 141129609689371. The next prime is 141129609689443. The reversal of 141129609689376 is 673986906921141.

It is a happy number.

141129609689376 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 2 + 9 + 609 + 6 + 8 + 9 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×141129609689376² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (141129609689371) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 51338525250 + ... + 51338527998.

It is an arithmetic number, because the mean of its divisors is an integer number (313553817500).

Almost surely, 2^{141129609689376} is an apocalyptic number.

141129609689376 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 141129609689376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270910498320000).

141129609689376 is an abundant number, since it is smaller than the sum of its proper divisors (400691386950624).

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

141129609689376 is a wasteful number, since it uses less digits than its factorization.

141129609689376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 141129609689376 in words is "one hundred forty-one trillion, one hundred twenty-nine billion, six hundred nine million, six hundred eighty-nine thousand, three hundred seventy-six".