305225554401 has 40 divisors (see below), whose sum is σ = 467347747680. Its totient is φ = 198415018368.

The previous prime is 305225554367. The next prime is 305225554411. The reversal of 305225554401 is 104455522503.

305225554401 is a `hidden beast` number, since 30 + 52 + 25 + 554 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 305225554401 - 2¹⁰ = 305225553377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (305225554411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1991530 + ... + 2139308.

It is an arithmetic number, because the mean of its divisors is an integer number (11683693692).

Almost surely, 2^305225554401 is an apocalyptic number.

It is an amenable number.

305225554401 is a deficient number, since it is larger than the sum of its proper divisors (162122193279).

305225554401 is a wasteful number, since it uses less digits than its factorization.

305225554401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148427 (or 148418 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 305225554401 in words is "three hundred five billion, two hundred twenty-five million, five hundred fifty-four thousand, four hundred one".