10129945248 has 72 divisors (see below), whose sum is σ = 29585631348. Its totient is φ = 3285384192.

The previous prime is 10129945213. The next prime is 10129945277. The reversal of 10129945248 is 84254992101.

It is a happy number.

10129945248 is a `hidden beast` number, since 10 + 1 + 29 + 94 + 524 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8736267024 + 1393678224 = 93468^2 + 37332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464661 + ... + 485972.

Almost surely, 2^10129945248 is an apocalyptic number.

10129945248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10129945248 is an abundant number, since it is smaller than the sum of its proper divisors (19455686100).

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

10129945248 is a wasteful number, since it uses less digits than its factorization.

10129945248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950686 (or 950675 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10129945248 in words is "ten billion, one hundred twenty-nine million, nine hundred forty-five thousand, two hundred forty-eight".