252692525448 has 384 divisors, whose sum is σ = 796096304640. Its totient is φ = 74426688000.

The previous prime is 252692525431. The next prime is 252692525453. The reversal of 252692525448 is 844525296252.

252692525448 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 92 + 5 + 2 + 544 + 8 = 666.

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 = 252692525394 and 252692525403.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430481011 + ... + 430481597.

It is an arithmetic number, because the mean of its divisors is an integer number (2073167460).

Almost surely, 2^252692525448 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 252692525448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398048152320).

252692525448 is an abundant number, since it is smaller than the sum of its proper divisors (543403779192).

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

252692525448 is a wasteful number, since it uses less digits than its factorization.

252692525448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1135 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 252692525448 in words is "two hundred fifty-two billion, six hundred ninety-two million, five hundred twenty-five thousand, four hundred forty-eight".