414556102166232 has 128 divisors (see below), whose sum is σ = 1128353529864960. Its totient is φ = 126159425779200.

The previous prime is 414556102166153. The next prime is 414556102166287. The reversal of 414556102166232 is 232661201655414.

It is a super-2 number, since 2×414556102166232² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22895983 + ... + 36787745.

It is an arithmetic number, because the mean of its divisors is an integer number (8815261952070).

Almost surely, 2^{414556102166232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414556102166232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564176764932480).

414556102166232 is an abundant number, since it is smaller than the sum of its proper divisors (713797427698728).

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

414556102166232 is a wasteful number, since it uses less digits than its factorization.

414556102166232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13892833 (or 13892829 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 414556102166232 in words is "four hundred fourteen trillion, five hundred fifty-six billion, one hundred two million, one hundred sixty-six thousand, two hundred thirty-two".