141572800512 has 640 divisors, whose sum is σ = 498241109520. Its totient is φ = 39494615040.

The previous prime is 141572800489. The next prime is 141572800517. The reversal of 141572800512 is 215008275141.

It is a happy number.

141572800512 is a `hidden beast` number, since 1 + 4 + 1 + 572 + 80 + 0 + 5 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141572800517) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 379551558 + ... + 379551930.

Almost surely, 2^141572800512 is an apocalyptic number.

141572800512 is a gapful number since it is divisible by the number (12) 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 141572800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249120554760).

141572800512 is an abundant number, since it is smaller than the sum of its proper divisors (356668309008).

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

141572800512 is an equidigital number, since it uses as much as digits as its factorization.

141572800512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 141572800512 in words is "one hundred forty-one billion, five hundred seventy-two million, eight hundred thousand, five hundred twelve".