20430561725145 has 192 divisors, whose sum is σ = 42257483993088. Its totient is φ = 9000548928000.

The previous prime is 20430561725113. The next prime is 20430561725159. The reversal of 20430561725145 is 54152716503402.

20430561725145 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 0 + 5 + 61 + 72 + 514 + 5 = 666.

It is not a de Polignac number, because 20430561725145 - 2⁵ = 20430561725113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20430561725145.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 288259002 + ... + 288329868.

It is an arithmetic number, because the mean of its divisors is an integer number (220091062464).

Almost surely, 2^{20430561725145} is an apocalyptic number.

It is an amenable number.

20430561725145 is an abundant number, since it is smaller than the sum of its proper divisors (21826922267943).

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

20430561725145 is a wasteful number, since it uses less digits than its factorization.

20430561725145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71604 (or 71601 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 20430561725145 in words is "twenty trillion, four hundred thirty billion, five hundred sixty-one million, seven hundred twenty-five thousand, one hundred forty-five".