146962829614952 has 128 divisors (see below), whose sum is σ = 323854946688000. Its totient is φ = 61914617118720.

The previous prime is 146962829614919. The next prime is 146962829614957. The reversal of 146962829614952 is 259416928269641.

146962829614952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 146962829614952.

It is not an unprimeable number, because it can be changed into a prime (146962829614957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8789288 + ... + 19265960.

It is an arithmetic number, because the mean of its divisors is an integer number (2530116771000).

Almost surely, 2^{146962829614952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146962829614952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161927473344000).

146962829614952 is an abundant number, since it is smaller than the sum of its proper divisors (176892117073048).

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

146962829614952 is a wasteful number, since it uses less digits than its factorization.

146962829614952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10476971 (or 10476967 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 74.

The spelling of 146962829614952 in words is "one hundred forty-six trillion, nine hundred sixty-two billion, eight hundred twenty-nine million, six hundred fourteen thousand, nine hundred fifty-two".