146630373984 has 192 divisors, whose sum is σ = 448955136000. Its totient is φ = 46497922560.

The previous prime is 146630373947. The next prime is 146630373991. The reversal of 146630373984 is 489373036641.

It is a happy number.

146630373984 is a `hidden beast` number, since 1 + 466 + 30 + 3 + 73 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 146630373984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1533862 + ... + 1626650.

It is an arithmetic number, because the mean of its divisors is an integer number (2338308000).

Almost surely, 2^146630373984 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 146630373984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224477568000).

146630373984 is an abundant number, since it is smaller than the sum of its proper divisors (302324762016).

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

146630373984 is a wasteful number, since it uses less digits than its factorization.

146630373984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92898 (or 92884 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 146630373984 in words is "one hundred forty-six billion, six hundred thirty million, three hundred seventy-three thousand, nine hundred eighty-four".