414163416654 has 128 divisors (see below), whose sum is σ = 1032227280000. Its totient is φ = 122213919744.

The previous prime is 414163416619. The next prime is 414163416661. The reversal of 414163416654 is 456614361414.

414163416654 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 634 + 1 + 6 + 6 + 5 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2965074 + ... + 3101610.

It is an arithmetic number, because the mean of its divisors is an integer number (8064275625).

Almost surely, 2^414163416654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414163416654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516113640000).

414163416654 is an abundant number, since it is smaller than the sum of its proper divisors (618063863346).

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

414163416654 is a wasteful number, since it uses less digits than its factorization.

414163416654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136739 (or 136733 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 414163416654 in words is "four hundred fourteen billion, one hundred sixty-three million, four hundred sixteen thousand, six hundred fifty-four".