889045416000 has 1344 divisors, whose sum is σ = 3994955078400. Its totient is φ = 192471552000.

The previous prime is 889045415969. The next prime is 889045416031. The reversal of 889045416000 is 614540988.

It is an interprime number because it is at equal distance from previous prime (889045415969) and next prime (889045416031).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×889045416000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201093790 + ... + 201098210.

Almost surely, 2^889045416000 is an apocalyptic number.

889045416000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 889045416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997477539200).

889045416000 is an abundant number, since it is smaller than the sum of its proper divisors (3105909662400).

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

889045416000 is a wasteful number, since it uses less digits than its factorization.

889045416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 889045416000 its reverse (614540988), we get a palindrome (889659956988).

The spelling of 889045416000 in words is "eight hundred eighty-nine billion, forty-five million, four hundred sixteen thousand".