10264948848 has 360 divisors, whose sum is σ = 36790721136. Its totient is φ = 2663781120.

The previous prime is 10264948847. The next prime is 10264948861. The reversal of 10264948848 is 84884946201.

It is a happy number.

10264948848 is a `hidden beast` number, since 10 + 26 + 494 + 88 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10264948794 and 10264948803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10264948847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9390990 + ... + 9392082.

Almost surely, 2^10264948848 is an apocalyptic number.

10264948848 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 10264948848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18395360568).

10264948848 is an abundant number, since it is smaller than the sum of its proper divisors (26525772288).

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

10264948848 is a wasteful number, since it uses less digits than its factorization.

10264948848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 10264948848 in words is "ten billion, two hundred sixty-four million, nine hundred forty-eight thousand, eight hundred forty-eight".