146921516093184 has 864 divisors, whose sum is σ = 469686436531200. Its totient is φ = 40636707471360.

The previous prime is 146921516093167. The next prime is 146921516093197. The reversal of 146921516093184 is 481390615129641.

It is a super-2 number, since 2×146921516093184² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 45613632694 + ... + 45613635914.

It is an arithmetic number, because the mean of its divisors is an integer number (543618560800).

Almost surely, 2^{146921516093184} is an apocalyptic number.

146921516093184 is a gapful number since it is divisible by the number (14) 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 146921516093184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234843218265600).

146921516093184 is an abundant number, since it is smaller than the sum of its proper divisors (322764920438016).

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

146921516093184 is a wasteful number, since it uses less digits than its factorization.

146921516093184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 146921516093184 in words is "one hundred forty-six trillion, nine hundred twenty-one billion, five hundred sixteen million, ninety-three thousand, one hundred eighty-four".