10249938048 has 64 divisors (see below), whose sum is σ = 31115891520. Its totient is φ = 2928552960.

The previous prime is 10249938047. The next prime is 10249938073. The reversal of 10249938048 is 84083994201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10249938048² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10249937988 and 10249938006.

It is not an unprimeable number, because it can be changed into a prime (10249938043) 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 7 ways as a sum of consecutive naturals, for example, 1903923 + ... + 1909298.

It is an arithmetic number, because the mean of its divisors is an integer number (486185805).

Almost surely, 2^10249938048 is an apocalyptic number.

It is an amenable number.

10249938048 is an abundant number, since it is smaller than the sum of its proper divisors (20865953472).

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

10249938048 is an equidigital number, since it uses as much as digits as its factorization.

10249938048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813245 (or 3813233 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 10249938048 in words is "ten billion, two hundred forty-nine million, nine hundred thirty-eight thousand, forty-eight".