918891045715968 has 2016 divisors, whose sum is σ = 3077927976064032. Its totient is φ = 272436402585600.

The previous prime is 918891045715963. The next prime is 918891045716009. The reversal of 918891045715968 is 869517540198819.

918891045715968 is a `hidden beast` number, since 9 + 1 + 8 + 8 + 9 + 1 + 0 + 457 + 159 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918891045715961) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5076746108838 + ... + 5076746109018.

It is an arithmetic number, because the mean of its divisors is an integer number (1526749988127).

Almost surely, 2^{918891045715968} 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 918891045715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538963988032016).

918891045715968 is an abundant number, since it is smaller than the sum of its proper divisors (2159036930348064).

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

918891045715968 is an frugal number, since it uses more digits than its factorization.

918891045715968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 81.

The spelling of 918891045715968 in words is "nine hundred eighteen trillion, eight hundred ninety-one billion, forty-five million, seven hundred fifteen thousand, nine hundred sixty-eight".