146042114064 has 640 divisors, whose sum is σ = 531943096320. Its totient is φ = 33326899200.

The previous prime is 146042114041. The next prime is 146042114143. The reversal of 146042114064 is 460411240641.

146042114064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84759507 + ... + 84761229.

It is an arithmetic number, because the mean of its divisors is an integer number (831161088).

Almost surely, 2^146042114064 is an apocalyptic number.

146042114064 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 146042114064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265971548160).

146042114064 is an abundant number, since it is smaller than the sum of its proper divisors (385900982256).

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

146042114064 is a wasteful number, since it uses less digits than its factorization.

146042114064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 146042114064 in words is "one hundred forty-six billion, forty-two million, one hundred fourteen thousand, sixty-four".