145446605360046 has 192 divisors, whose sum is σ = 351924326208000. Its totient is φ = 43143748761600.

The previous prime is 145446605359967. The next prime is 145446605360047. The reversal of 145446605360046 is 640063506644541.

145446605360046 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 4 + 6 + 60 + 536 + 0 + 0 + 46 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145446605359974 and 145446605360001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145446605360047) 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 95 ways as a sum of consecutive naturals, for example, 6287939901 + ... + 6287963031.

It is an arithmetic number, because the mean of its divisors is an integer number (1832939199000).

Almost surely, 2^{145446605360046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145446605360046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175962163104000).

145446605360046 is an abundant number, since it is smaller than the sum of its proper divisors (206477720847954).

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

145446605360046 is a wasteful number, since it uses less digits than its factorization.

145446605360046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25255 (or 25252 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 145446605360046 in words is "one hundred forty-five trillion, four hundred forty-six billion, six hundred five million, three hundred sixty thousand, forty-six".