146374333824 has 128 divisors (see below), whose sum is σ = 403816596480. Its totient is φ = 46927226880.

The previous prime is 146374333817. The next prime is 146374333891. The reversal of 146374333824 is 428333473641.

146374333824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1902634 + ... + 1978070.

It is an arithmetic number, because the mean of its divisors is an integer number (3154817160).

Almost surely, 2^146374333824 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 146374333824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201908298240).

146374333824 is an abundant number, since it is smaller than the sum of its proper divisors (257442262656).

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

146374333824 is a wasteful number, since it uses less digits than its factorization.

146374333824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75648 (or 75636 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 48.

The spelling of 146374333824 in words is "one hundred forty-six billion, three hundred seventy-four million, three hundred thirty-three thousand, eight hundred twenty-four".