621414414125 has 16 divisors (see below), whose sum is σ = 794440443888. Its totient is φ = 485006368000.

The previous prime is 621414414097. The next prime is 621414414157. The reversal of 621414414125 is 521414414126.

It can be written as a sum of positive squares in 8 ways, for example, as 236768854921 + 384645559204 = 486589^2 + 620198^2 .

It is not a de Polignac number, because 621414414125 - 2¹⁴ = 621414397741 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 60620672 + ... + 60630921.

It is an arithmetic number, because the mean of its divisors is an integer number (49652527743).

Almost surely, 2^621414414125 is an apocalyptic number.

It is an amenable number.

621414414125 is a deficient number, since it is larger than the sum of its proper divisors (173026029763).

621414414125 is a wasteful number, since it uses less digits than its factorization.

621414414125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121251649 (or 121251639 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

Subtracting from 621414414125 its reverse (521414414126), we obtain a palindrome (99999999999).

The spelling of 621414414125 in words is "six hundred twenty-one billion, four hundred fourteen million, four hundred fourteen thousand, one hundred twenty-five".