84145924603104 has 192 divisors, whose sum is σ = 272215208434176. Its totient is φ = 22163013863424.

The previous prime is 84145924603031. The next prime is 84145924603123. The reversal of 84145924603104 is 40130642954148.

84145924603104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×84145924603104² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251139 + ... + 12975165.

It is an arithmetic number, because the mean of its divisors is an integer number (1417787543928).

Almost surely, 2^{84145924603104} is an apocalyptic number.

84145924603104 is a gapful number since it is divisible by the number (84) 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 84145924603104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136107604217088).

84145924603104 is an abundant number, since it is smaller than the sum of its proper divisors (188069283831072).

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

84145924603104 is a wasteful number, since it uses less digits than its factorization.

84145924603104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12724817 (or 12724809 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 84145924603104 in words is "eighty-four trillion, one hundred forty-five billion, nine hundred twenty-four million, six hundred three thousand, one hundred four".