891868964440944 has 640 divisors, whose sum is σ = 2892971980800000. Its totient is φ = 230938789478400.

The previous prime is 891868964440931. The next prime is 891868964440969. The reversal of 891868964440944 is 449044469868198.

It is a super-2 number, since 2×891868964440944² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58679442657 + ... + 58679457855.

It is an arithmetic number, because the mean of its divisors is an integer number (4520268720000).

Almost surely, 2^{891868964440944} is an apocalyptic number.

891868964440944 is a gapful number since it is divisible by the number (84) 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 891868964440944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446485990400000).

891868964440944 is an abundant number, since it is smaller than the sum of its proper divisors (2001103016359056).

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

891868964440944 is a wasteful number, since it uses less digits than its factorization.

891868964440944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18121 (or 18115 counting only the distinct ones).

The product of its (nonzero) digits is 13759414272, while the sum is 84.

The spelling of 891868964440944 in words is "eight hundred ninety-one trillion, eight hundred sixty-eight billion, nine hundred sixty-four million, four hundred forty thousand, nine hundred forty-four".