89268915456 has 432 divisors, whose sum is σ = 315611587200. Its totient is φ = 24622424064.

The previous prime is 89268915431. The next prime is 89268915457. The reversal of 89268915456 is 65451986298.

89268915456 is a `hidden beast` number, since 8 + 9 + 2 + 6 + 89 + 1 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×89268915456³ (a number of 34 digits) contains 333 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 = 89268915393 and 89268915402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89268915457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12624690 + ... + 12631758.

Almost surely, 2^89268915456 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 89268915456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157805793600).

89268915456 is an abundant number, since it is smaller than the sum of its proper divisors (226342671744).

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

89268915456 is an equidigital number, since it uses as much as digits as its factorization.

89268915456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7136 (or 7110 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 89268915456 in words is "eighty-nine billion, two hundred sixty-eight million, nine hundred fifteen thousand, four hundred fifty-six".