146052418824 has 144 divisors (see below), whose sum is σ = 431206834500. Its totient is φ = 44637046272.

The previous prime is 146052418769. The next prime is 146052418849. The reversal of 146052418824 is 428814250641.

146052418824 is a `hidden beast` number, since 1 + 4 + 605 + 2 + 4 + 18 + 8 + 24 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6536722500 + 139515696324 = 80850^2 + 373518^2 .

It is a super-2 number, since 2×146052418824² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146052418824.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1772754 + ... + 1853310.

Almost surely, 2^146052418824 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 146052418824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215603417250).

146052418824 is an abundant number, since it is smaller than the sum of its proper divisors (285154415676).

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

146052418824 is a wasteful number, since it uses less digits than its factorization.

146052418824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80744 (or 80724 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 146052418824 in words is "one hundred forty-six billion, fifty-two million, four hundred eighteen thousand, eight hundred twenty-four".