825323466744 has 72 divisors (see below), whose sum is σ = 2600190014760. Its totient is φ = 235806703776.

The previous prime is 825323466733. The next prime is 825323466811. The reversal of 825323466744 is 447664323528.

825323466744 is a `hidden beast` number, since 8 + 2 + 532 + 3 + 4 + 6 + 67 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 116964084 + ... + 116971139.

It is an arithmetic number, because the mean of its divisors is an integer number (36113750205).

Almost surely, 2^825323466744 is an apocalyptic number.

825323466744 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

825323466744 is an abundant number, since it is smaller than the sum of its proper divisors (1774866548016).

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

825323466744 is a wasteful number, since it uses less digits than its factorization.

825323466744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233935249 (or 233935235 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 54.

The spelling of 825323466744 in words is "eight hundred twenty-five billion, three hundred twenty-three million, four hundred sixty-six thousand, seven hundred forty-four".