146018408448 has 384 divisors, whose sum is σ = 473395104000. Its totient is φ = 39447429120.

The previous prime is 146018408423. The next prime is 146018408479. The reversal of 146018408448 is 844804810641.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 146018408397 and 146018408406.

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, 21826288 + ... + 21832976.

It is an arithmetic number, because the mean of its divisors is an integer number (1232799750).

Almost surely, 2^146018408448 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 146018408448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236697552000).

146018408448 is an abundant number, since it is smaller than the sum of its proper divisors (327376695552).

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

146018408448 is a wasteful number, since it uses less digits than its factorization.

146018408448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 146018408448 in words is "one hundred forty-six billion, eighteen million, four hundred eight thousand, four hundred forty-eight".