825016988466 has 64 divisors (see below), whose sum is σ = 2020660306560. Its totient is φ = 247427758080.

The previous prime is 825016988449. The next prime is 825016988483. The reversal of 825016988466 is 664889610528.

825016988466 is a `hidden beast` number, since 8 + 2 + 5 + 0 + 169 + 8 + 8 + 466 = 666.

It is an interprime number because it is at equal distance from previous prime (825016988449) and next prime (825016988483).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7101751 + ... + 7216986.

It is an arithmetic number, because the mean of its divisors is an integer number (31572817290).

Almost surely, 2^825016988466 is an apocalyptic number.

825016988466 is an abundant number, since it is smaller than the sum of its proper divisors (1195643318094).

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

825016988466 is a wasteful number, since it uses less digits than its factorization.

825016988466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14318856 (or 14318850 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 825016988466 in words is "eight hundred twenty-five billion, sixteen million, nine hundred eighty-eight thousand, four hundred sixty-six".