4625871814656 has 225 divisors, whose sum is σ = 13827490406499. Its totient is φ = 1541131370496.

The previous prime is 4625871814591. The next prime is 4625871814657. The reversal of 4625871814656 is 6564181785264.

The square root of 4625871814656 is 2150784.

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

4625871814656 is a `hidden beast` number, since 4 + 6 + 2 + 587 + 1 + 8 + 1 + 46 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4625871814593 and 4625871814602.

It is not an unprimeable number, because it can be changed into a prime (4625871814657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2477702235 + ... + 2477704101.

Almost surely, 2^{4625871814656} is an apocalyptic number.

4625871814656 is the 2150784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4625871814656

4625871814656 is an abundant number, since it is smaller than the sum of its proper divisors (9201618591843).

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

4625871814656 is an frugal number, since it uses more digits than its factorization.

4625871814656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 1872 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 4625871814656 in words is "four trillion, six hundred twenty-five billion, eight hundred seventy-one million, eight hundred fourteen thousand, six hundred fifty-six".