625451561856 has 192 divisors, whose sum is σ = 1965213469440. Its totient is φ = 189357696000.

The previous prime is 625451561827. The next prime is 625451561857. The reversal of 625451561856 is 658165154526.

625451561856 is a `hidden beast` number, since 6 + 2 + 5 + 4 + 5 + 15 + 618 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625451561857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14208681 + ... + 14252631.

It is an arithmetic number, because the mean of its divisors is an integer number (10235486820).

Almost surely, 2^625451561856 is an apocalyptic number.

625451561856 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625451561856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982606734720).

625451561856 is an abundant number, since it is smaller than the sum of its proper divisors (1339761907584).

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

625451561856 is a wasteful number, since it uses less digits than its factorization.

625451561856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45105 (or 45090 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 54.

The spelling of 625451561856 in words is "six hundred twenty-five billion, four hundred fifty-one million, five hundred sixty-one thousand, eight hundred fifty-six".