915648552 has 384 divisors, whose sum is σ = 3249792000. Its totient is φ = 226437120.

The previous prime is 915648499. The next prime is 915648557. The reversal of 915648552 is 255846519.

915648552 is a `hidden beast` number, since 9 + 1 + 56 + 48 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 915648498 and 915648507.

It is not an unprimeable number, because it can be changed into a prime (915648557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11590449 + ... + 11590527.

It is an arithmetic number, because the mean of its divisors is an integer number (8463000).

Almost surely, 2^915648552 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 915648552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896000).

915648552 is an abundant number, since it is smaller than the sum of its proper divisors (2334143448).

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

915648552 is a wasteful number, since it uses less digits than its factorization.

915648552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 194 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 915648552 is about 30259.6852594339. The cubic root of 915648552 is about 971.0530074583.

The spelling of 915648552 in words is "nine hundred fifteen million, six hundred forty-eight thousand, five hundred fifty-two".