146882729512512 has 448 divisors, whose sum is σ = 510865072857600. Its totient is φ = 40491346452480.

The previous prime is 146882729512457. The next prime is 146882729512513. The reversal of 146882729512512 is 215215927288641.

It is a happy number.

146882729512512 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 8 + 27 + 2 + 95 + 1 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 146882729512512.

It is not an unprimeable number, because it can be changed into a prime (146882729512513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 509545062 + ... + 509833242.

Almost surely, 2^{146882729512512} is an apocalyptic number.

146882729512512 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 146882729512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255432536428800).

146882729512512 is an abundant number, since it is smaller than the sum of its proper divisors (363982343345088).

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

146882729512512 is a wasteful number, since it uses less digits than its factorization.

146882729512512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289691 (or 289675 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 146882729512512 in words is "one hundred forty-six trillion, eight hundred eighty-two billion, seven hundred twenty-nine million, five hundred twelve thousand, five hundred twelve".