925241280768 has 1152 divisors, whose sum is σ = 3350061711360. Its totient is φ = 246363586560.

The previous prime is 925241280749. The next prime is 925241280797. The reversal of 925241280768 is 867082142529.

925241280768 is a `hidden beast` number, since 9 + 252 + 41 + 280 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8187975880 + ... + 8187975992.

It is an arithmetic number, because the mean of its divisors is an integer number (2908039680).

Almost surely, 2^925241280768 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 925241280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675030855680).

925241280768 is an abundant number, since it is smaller than the sum of its proper divisors (2424820430592).

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

925241280768 is a wasteful number, since it uses less digits than its factorization.

925241280768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 925241280768 in words is "nine hundred twenty-five billion, two hundred forty-one million, two hundred eighty thousand, seven hundred sixty-eight".