146683122432 has 288 divisors, whose sum is σ = 490578837504. Its totient is φ = 37797580800.

The previous prime is 146683122389. The next prime is 146683122451. The reversal of 146683122432 is 234221386641.

It is a super-2 number, since 2×146683122432² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 7500507 + ... + 7520037.

Almost surely, 2^146683122432 is an apocalyptic number.

146683122432 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 146683122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245289418752).

146683122432 is an abundant number, since it is smaller than the sum of its proper divisors (343895715072).

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

146683122432 is a wasteful number, since it uses less digits than its factorization.

146683122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19695 (or 19681 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 146683122432 in words is "one hundred forty-six billion, six hundred eighty-three million, one hundred twenty-two thousand, four hundred thirty-two".