141582468720 has 640 divisors, whose sum is σ = 578534400000. Its totient is φ = 27749191680.

The previous prime is 141582468719. The next prime is 141582468737. The reversal of 141582468720 is 27864285141.

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 141582468720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94450531 + ... + 94452029.

It is an arithmetic number, because the mean of its divisors is an integer number (903960000).

Almost surely, 2^141582468720 is an apocalyptic number.

141582468720 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 141582468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289267200000).

141582468720 is an abundant number, since it is smaller than the sum of its proper divisors (436951931280).

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

141582468720 is a wasteful number, since it uses less digits than its factorization.

141582468720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 141582468720 in words is "one hundred forty-one billion, five hundred eighty-two million, four hundred sixty-eight thousand, seven hundred twenty".