146250238464 has 240 divisors, whose sum is σ = 461068882560. Its totient is φ = 44259655680.

The previous prime is 146250238399. The next prime is 146250238469. The reversal of 146250238464 is 464832052641.

146250238464 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 502 + 3 + 84 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (146250238469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52663444 + ... + 52666220.

It is an arithmetic number, because the mean of its divisors is an integer number (1921120344).

Almost surely, 2^146250238464 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 146250238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230534441280).

146250238464 is an abundant number, since it is smaller than the sum of its proper divisors (314818644096).

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

146250238464 is a wasteful number, since it uses less digits than its factorization.

146250238464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 146250238464 in words is "one hundred forty-six billion, two hundred fifty million, two hundred thirty-eight thousand, four hundred sixty-four".