893136299264 has 144 divisors (see below), whose sum is σ = 1993062081024. Its totient is φ = 395997388800.

The previous prime is 893136299227. The next prime is 893136299269. The reversal of 893136299264 is 462992631398.

It is a junction number, because it is equal to n+sod(n) for n = 893136299197 and 893136299206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893136299269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25802609 + ... + 25837199.

It is an arithmetic number, because the mean of its divisors is an integer number (13840708896).

Almost surely, 2^893136299264 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 893136299264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996531040512).

893136299264 is an abundant number, since it is smaller than the sum of its proper divisors (1099925781760).

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

893136299264 is a wasteful number, since it uses less digits than its factorization.

893136299264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34844 (or 34830 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 62.

The spelling of 893136299264 in words is "eight hundred ninety-three billion, one hundred thirty-six million, two hundred ninety-nine thousand, two hundred sixty-four".