892268849472 has 672 divisors, whose sum is σ = 3275964260352. Its totient is φ = 206986752000.

The previous prime is 892268849471. The next prime is 892268849491. The reversal of 892268849472 is 274948862298.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×892268849472² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 892268849397 and 892268849406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (892268849471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184694097 + ... + 184698927.

It is an arithmetic number, because the mean of its divisors is an integer number (4874946816).

Almost surely, 2^892268849472 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 892268849472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637982130176).

892268849472 is an abundant number, since it is smaller than the sum of its proper divisors (2383695410880).

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

892268849472 is a wasteful number, since it uses less digits than its factorization.

892268849472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4898 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 69.

The spelling of 892268849472 in words is "eight hundred ninety-two billion, two hundred sixty-eight million, eight hundred forty-nine thousand, four hundred seventy-two".