885367416390912 has 2160 divisors, whose sum is σ = 3358165746862080. Its totient is φ = 229937656725504.

The previous prime is 885367416390901. The next prime is 885367416390917. The reversal of 885367416390912 is 219093614763588.

885367416390912 is a `hidden beast` number, since 8 + 8 + 5 + 36 + 7 + 416 + 3 + 90 + 91 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (885367416390917) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 233175509398 + ... + 233175513194.

It is an arithmetic number, because the mean of its divisors is an integer number (1554706364288).

It is a 1-persistent number, because it is pandigital, but 2⋅885367416390912 = 1770734832781824 is not.

Almost surely, 2^{885367416390912} 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 885367416390912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679082873431040).

885367416390912 is an abundant number, since it is smaller than the sum of its proper divisors (2472798330471168).

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

885367416390912 is a wasteful number, since it uses less digits than its factorization.

885367416390912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 885367416390912 in words is "eight hundred eighty-five trillion, three hundred sixty-seven billion, four hundred sixteen million, three hundred ninety thousand, nine hundred twelve".