889956246816 has 864 divisors, whose sum is σ = 3364537176000. Its totient is φ = 220549754880.

The previous prime is 889956246811. The next prime is 889956246827. The reversal of 889956246816 is 618642659988.

889956246816 is a `hidden beast` number, since 8 + 8 + 9 + 9 + 562 + 46 + 8 + 16 = 666.

It is a super-2 number, since 2×889956246816² (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 not an unprimeable number, because it can be changed into a prime (889956246811) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 456621010 + ... + 456622958.

It is an arithmetic number, because the mean of its divisors is an integer number (3894140250).

Almost surely, 2^889956246816 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 889956246816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682268588000).

889956246816 is an abundant number, since it is smaller than the sum of its proper divisors (2474580929184).

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

889956246816 is a wasteful number, since it uses less digits than its factorization.

889956246816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2124 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 889956246816 in words is "eight hundred eighty-nine billion, nine hundred fifty-six million, two hundred forty-six thousand, eight hundred sixteen".