10225951848 has 384 divisors, whose sum is σ = 34306272000. Its totient is φ = 2687385600.

The previous prime is 10225951817. The next prime is 10225951859. The reversal of 10225951848 is 84815952201.

10225951848 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 595 + 18 + 48 = 666.

It is a super-2 number, since 2×10225951848² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 93816018 + ... + 93816126.

It is an arithmetic number, because the mean of its divisors is an integer number (89339250).

Almost surely, 2^10225951848 is an apocalyptic number.

10225951848 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 10225951848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153136000).

10225951848 is an abundant number, since it is smaller than the sum of its proper divisors (24080320152).

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

10225951848 is a wasteful number, since it uses less digits than its factorization.

10225951848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 10225951848 in words is "ten billion, two hundred twenty-five million, nine hundred fifty-one thousand, eight hundred forty-eight".