887646449664 has 546 divisors, whose sum is σ = 2883505907040. Its totient is φ = 272966713344.

The previous prime is 887646449653. The next prime is 887646449689. The reversal of 887646449664 is 466944646788.

887646449664 is a `hidden beast` number, since 8 + 8 + 76 + 4 + 6 + 4 + 496 + 64 = 666.

It is a super-2 number, since 2×887646449664² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 887646449592 and 887646449601.

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 41 ways as a sum of consecutive naturals, for example, 504630417 + ... + 504632175.

Almost surely, 2^887646449664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 887646449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441752953520).

887646449664 is an abundant number, since it is smaller than the sum of its proper divisors (1995859457376).

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

887646449664 is an equidigital number, since it uses as much as digits as its factorization.

887646449664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1777 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 72.

The spelling of 887646449664 in words is "eight hundred eighty-seven billion, six hundred forty-six million, four hundred forty-nine thousand, six hundred sixty-four".