891946542240 has 768 divisors, whose sum is σ = 3433483468800. Its totient is φ = 214934114304.

The previous prime is 891946542199. The next prime is 891946542241. The reversal of 891946542240 is 42245649198.

891946542240 is a `hidden beast` number, since 8 + 9 + 1 + 94 + 6 + 542 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (891946542241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 563452489 + ... + 563454071.

It is an arithmetic number, because the mean of its divisors is an integer number (4470681600).

Almost surely, 2^891946542240 is an apocalyptic number.

891946542240 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 891946542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716741734400).

891946542240 is an abundant number, since it is smaller than the sum of its proper divisors (2541536926560).

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

891946542240 is a wasteful number, since it uses less digits than its factorization.

891946542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 891946542240 in words is "eight hundred ninety-one billion, nine hundred forty-six million, five hundred forty-two thousand, two hundred forty".