146586449408 has 240 divisors, whose sum is σ = 355771738080. Its totient is φ = 60085960704.

The previous prime is 146586449363. The next prime is 146586449411. The reversal of 146586449408 is 804944685641.

146586449408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82212485 + ... + 82214267.

It is an arithmetic number, because the mean of its divisors is an integer number (1482382242).

Almost surely, 2^146586449408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146586449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177885869040).

146586449408 is an abundant number, since it is smaller than the sum of its proper divisors (209185288672).

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

146586449408 is a wasteful number, since it uses less digits than its factorization.

146586449408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 59.

The spelling of 146586449408 in words is "one hundred forty-six billion, five hundred eighty-six million, four hundred forty-nine thousand, four hundred eight".