146186507795328 has 2304 divisors, whose sum is σ = 601313848611840. Its totient is φ = 33446488965120.

The previous prime is 146186507795323. The next prime is 146186507795509. The reversal of 146186507795328 is 823597705681641.

146186507795328 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 8 + 6 + 507 + 7 + 95 + 3 + 28 = 666.

It is a super-2 number, since 2×146186507795328² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146186507795323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 120120383776 + ... + 120120384992.

It is an arithmetic number, because the mean of its divisors is an integer number (260986913460).

It is a 1-persistent number, because it is pandigital, but 2⋅146186507795328 = 292373015590656 is not.

Almost surely, 2^{146186507795328} is an apocalyptic number.

146186507795328 is a gapful number since it is divisible by the number (18) 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 146186507795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300656924305920).

146186507795328 is an abundant number, since it is smaller than the sum of its proper divisors (455127340816512).

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

146186507795328 is a wasteful number, since it uses less digits than its factorization.

146186507795328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 146186507795328 in words is "one hundred forty-six trillion, one hundred eighty-six billion, five hundred seven million, seven hundred ninety-five thousand, three hundred twenty-eight".