893045790121 has 9 divisors (see below), whose sum is σ = 914338889751. Its totient is φ = 872237592912.

The previous prime is 893045790089. The next prime is 893045790137. The reversal of 893045790121 is 121097540398.

It is a happy number.

The square root of 893045790121 is 945011.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 416857466025 + 476188324096 = 645645^2 + 690064^2 .

It is not a de Polignac number, because 893045790121 - 2⁵ = 893045790089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (893045796121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40624485 + ... + 40646461.

Almost surely, 2^893045790121 is an apocalyptic number.

893045790121 is the 945011-st square number.

893045790121 is the 472506-th centered octagonal number.

It is an amenable number.

893045790121 is a deficient number, since it is larger than the sum of its proper divisors (21293099630).

893045790121 is an frugal number, since it uses more digits than its factorization.

893045790121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44040 (or 22020 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 893045790121 by its sum of digits (49), we get a square (43759243715929 = 6615077²).

The spelling of 893045790121 in words is "eight hundred ninety-three billion, forty-five million, seven hundred ninety thousand, one hundred twenty-one".