884561074992 has 160 divisors (see below), whose sum is σ = 2908440514560. Its totient is φ = 252147686400.

The previous prime is 884561074981. The next prime is 884561074993. The reversal of 884561074992 is 299470165488.

884561074992 is a `hidden beast` number, since 8 + 8 + 4 + 5 + 610 + 7 + 4 + 9 + 9 + 2 = 666.

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 a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (884561074993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971617 + ... + 1647167.

It is an arithmetic number, because the mean of its divisors is an integer number (18177753216).

Almost surely, 2^884561074992 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 884561074992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454220257280).

884561074992 is an abundant number, since it is smaller than the sum of its proper divisors (2023879439568).

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

884561074992 is a wasteful number, since it uses less digits than its factorization.

884561074992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676008 (or 675996 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 884561074992 in words is "eight hundred eighty-four billion, five hundred sixty-one million, seventy-four thousand, nine hundred ninety-two".