146382943392 has 864 divisors, whose sum is σ = 549619499520. Its totient is φ = 38093690880.

The previous prime is 146382943367. The next prime is 146382943433. The reversal of 146382943392 is 293349283641.

146382943392 is a `hidden beast` number, since 1 + 46 + 3 + 82 + 9 + 433 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×146382943392² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4722030417 + ... + 4722030447.

It is an arithmetic number, because the mean of its divisors is an integer number (636133680).

Almost surely, 2^146382943392 is an apocalyptic number.

146382943392 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 146382943392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274809749760).

146382943392 is an abundant number, since it is smaller than the sum of its proper divisors (403236556128).

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

146382943392 is an frugal number, since it uses more digits than its factorization.

146382943392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 146382943392 in words is "one hundred forty-six billion, three hundred eighty-two million, nine hundred forty-three thousand, three hundred ninety-two".