1229312448 has 336 divisors, whose sum is σ = 4437888000. Its totient is φ = 316680192.

The previous prime is 1229312437. The next prime is 1229312453. The reversal of 1229312448 is 8442139221.

1229312448 is a `hidden beast` number, since 122 + 93 + 1 + 2 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1229312448³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 2463303 + ... + 2463801.

It is an arithmetic number, because the mean of its divisors is an integer number (13208000).

Almost surely, 2^1229312448 is an apocalyptic number.

1229312448 is a gapful number since it is divisible by the number (18) 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 1229312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218944000).

1229312448 is an abundant number, since it is smaller than the sum of its proper divisors (3208575552).

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

1229312448 is a wasteful number, since it uses less digits than its factorization.

1229312448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 571 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1229312448 is about 35061.5522759618. The cubic root of 1229312448 is about 1071.2415924839.

It can be divided in two parts, 1229312 and 448, that multiplied together give a 5-th power (550731776 = 56⁵).

The spelling of 1229312448 in words is "one billion, two hundred twenty-nine million, three hundred twelve thousand, four hundred forty-eight".