2289162387456 has 864 divisors, whose sum is σ = 8099841214080. Its totient is φ = 636755116032.

The previous prime is 2289162387431. The next prime is 2289162387467. The reversal of 2289162387456 is 6547832619822.

2289162387456 is a `hidden beast` number, since 2 + 2 + 8 + 91 + 62 + 38 + 7 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2289162387456² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2289162387393 and 2289162387402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7456554855 + ... + 7456555161.

It is an arithmetic number, because the mean of its divisors is an integer number (9374816220).

Almost surely, 2^{2289162387456} 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 2289162387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049920607040).

2289162387456 is an abundant number, since it is smaller than the sum of its proper divisors (5810678826624).

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

2289162387456 is an frugal number, since it uses more digits than its factorization.

2289162387456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 362 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 2289162387456 in words is "two trillion, two hundred eighty-nine billion, one hundred sixty-two million, three hundred eighty-seven thousand, four hundred fifty-six".