5414086656 has 576 divisors, whose sum is σ = 18888629760. Its totient is φ = 1532805120.

The previous prime is 5414086637. The next prime is 5414086669. The reversal of 5414086656 is 6566804145.

5414086656 is a `hidden beast` number, since 541 + 40 + 8 + 6 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125908971 + ... + 125909013.

It is an arithmetic number, because the mean of its divisors is an integer number (32792760).

Almost surely, 2^5414086656 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 5414086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444314880).

5414086656 is an abundant number, since it is smaller than the sum of its proper divisors (13474543104).

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

5414086656 is a wasteful number, since it uses less digits than its factorization.

5414086656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5414086656 is about 73580.4774107915. The cubic root of 5414086656 is about 1755.9348602435.

The spelling of 5414086656 in words is "five billion, four hundred fourteen million, eighty-six thousand, six hundred fifty-six".