146890022256 has 60 divisors (see below), whose sum is σ = 415158268200. Its totient is φ = 48478550400.

The previous prime is 146890022207. The next prime is 146890022267. The reversal of 146890022256 is 652220098641.

146890022256 is digitally balanced in base 2, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5035306 + ... + 5064393.

It is an arithmetic number, because the mean of its divisors is an integer number (6919304470).

Almost surely, 2^146890022256 is an apocalyptic number.

146890022256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146890022256 is an abundant number, since it is smaller than the sum of its proper divisors (268268245944).

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

146890022256 is a wasteful number, since it uses less digits than its factorization.

146890022256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10099814 (or 10099805 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 146890022256 in words is "one hundred forty-six billion, eight hundred ninety million, twenty-two thousand, two hundred fifty-six".