5414614920 has 768 divisors, whose sum is σ = 22926758400. Its totient is φ = 1086750720.

The previous prime is 5414614913. The next prime is 5414614967. The reversal of 5414614920 is 294164145.

5414614920 is a `hidden beast` number, since 5 + 4 + 14 + 614 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20128546 + ... + 20128814.

It is an arithmetic number, because the mean of its divisors is an integer number (29852550).

Almost surely, 2^5414614920 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 5414614920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463379200).

5414614920 is an abundant number, since it is smaller than the sum of its proper divisors (17512143480).

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

5414614920 is a wasteful number, since it uses less digits than its factorization.

5414614920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5414614920 is about 73584.0670254098. The cubic root of 5414614920 is about 1755.9919684912.

The spelling of 5414614920 in words is "five billion, four hundred fourteen million, six hundred fourteen thousand, nine hundred twenty".