141929796960 has 288 divisors, whose sum is σ = 553859534592. Its totient is φ = 32421565440.

The previous prime is 141929796917. The next prime is 141929796971. The reversal of 141929796960 is 69697929141.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22848255 + ... + 22854465.

It is an arithmetic number, because the mean of its divisors is an integer number (1923123384).

Almost surely, 2^141929796960 is an apocalyptic number.

141929796960 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 141929796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276929767296).

141929796960 is an abundant number, since it is smaller than the sum of its proper divisors (411929737632).

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

141929796960 is a wasteful number, since it uses less digits than its factorization.

141929796960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8506 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 141929796960 in words is "one hundred forty-one billion, nine hundred twenty-nine million, seven hundred ninety-six thousand, nine hundred sixty".