420541000113564 has 108 divisors (see below), whose sum is σ = 1172587907633688. Its totient is φ = 126986360086080.

The previous prime is 420541000113529. The next prime is 420541000113589. The reversal of 420541000113564 is 465311000145024.

420541000113564 is a `hidden beast` number, since 4 + 20 + 54 + 10 + 0 + 0 + 1 + 13 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169337799 + ... + 171803294.

Almost surely, 2^{420541000113564} is an apocalyptic number.

420541000113564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420541000113564 is an abundant number, since it is smaller than the sum of its proper divisors (752046907520124).

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

420541000113564 is a wasteful number, since it uses less digits than its factorization.

420541000113564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341141408 (or 341141392 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 420541000113564 its reverse (465311000145024), we get a palindrome (885852000258588).

The spelling of 420541000113564 in words is "four hundred twenty trillion, five hundred forty-one billion, one hundred thirteen thousand, five hundred sixty-four".