621414414126 has 48 divisors (see below), whose sum is σ = 1471082296320. Its totient is φ = 188014502160.

The previous prime is 621414414097. The next prime is 621414414157.

621414414126 is a `hidden beast` number, since 6 + 214 + 1 + 4 + 414 + 1 + 26 = 666.

621414414126 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2313166 + ... + 2567793.

It is an arithmetic number, because the mean of its divisors is an integer number (30647547840).

Almost surely, 2^621414414126 is an apocalyptic number.

621414414126 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

621414414126 is an abundant number, since it is smaller than the sum of its proper divisors (849667882194).

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

621414414126 is a wasteful number, since it uses less digits than its factorization.

621414414126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881621 (or 4881618 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 621414414126 in words is "six hundred twenty-one billion, four hundred fourteen million, four hundred fourteen thousand, one hundred twenty-six".