4654357500816 has 405 divisors, whose sum is σ = 13828235410899. Its totient is φ = 1461368272896.

The previous prime is 4654357500761. The next prime is 4654357500847. The reversal of 4654357500816 is 6180057534564.

It is a happy number.

The square root of 4654357500816 is 2157396.

It is a perfect power (a square), and thus also a powerful number.

4654357500816 is a `hidden beast` number, since 4 + 6 + 5 + 4 + 3 + 57 + 500 + 81 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178594140816 + 4475763360000 = 422604^2 + 2115600^2 .

It is a super-2 number, since 2×4654357500816² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41189004376 + ... + 41189004488.

Almost surely, 2^{4654357500816} is an apocalyptic number.

4654357500816 is the 2157396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4654357500816

4654357500816 is an abundant number, since it is smaller than the sum of its proper divisors (9173877910083).

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

4654357500816 is a wasteful number, since it uses less digits than its factorization.

4654357500816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 4654357500816 in words is "four trillion, six hundred fifty-four billion, three hundred fifty-seven million, five hundred thousand, eight hundred sixteen".