252328916448 has 240 divisors, whose sum is σ = 867831592320. Its totient is φ = 70417154304.

The previous prime is 252328916447. The next prime is 252328916449. The reversal of 252328916448 is 844619823252.

252328916448 is a `hidden beast` number, since 2 + 523 + 28 + 91 + 6 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (252328916447) and next prime (252328916449).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 252328916394 and 252328916403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252328916447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 618483 + ... + 941901.

It is an arithmetic number, because the mean of its divisors is an integer number (3615964968).

Almost surely, 2^252328916448 is an apocalyptic number.

252328916448 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 252328916448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433915796160).

252328916448 is an abundant number, since it is smaller than the sum of its proper divisors (615502675872).

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

252328916448 is a wasteful number, since it uses less digits than its factorization.

252328916448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323491 (or 323474 counting only the distinct ones).

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

The spelling of 252328916448 in words is "two hundred fifty-two billion, three hundred twenty-eight million, nine hundred sixteen thousand, four hundred forty-eight".