229856413248 has 672 divisors, whose sum is σ = 866194587648. Its totient is φ = 56531865600.

The previous prime is 229856413243. The next prime is 229856413253. The reversal of 229856413248 is 842314658922.

229856413248 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 564 + 1 + 32 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (229856413243) and next prime (229856413253).

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

It is a super-2 number, since 2×229856413248² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 229856413194 and 229856413203.

It is not an unprimeable number, because it can be changed into a prime (229856413243) 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, 64619086 + ... + 64622642.

Almost surely, 2^229856413248 is an apocalyptic number.

229856413248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229856413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433097293824).

229856413248 is an abundant number, since it is smaller than the sum of its proper divisors (636338174400).

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

229856413248 is a wasteful number, since it uses less digits than its factorization.

229856413248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3658 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 229856413248 in words is "two hundred twenty-nine billion, eight hundred fifty-six million, four hundred thirteen thousand, two hundred forty-eight".