10191512448 has 256 divisors, whose sum is σ = 34100640000. Its totient is φ = 2970556416.

The previous prime is 10191512437. The next prime is 10191512453. The reversal of 10191512448 is 84421519101.

10191512448 is a `hidden beast` number, since 10 + 1 + 91 + 512 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847663 + ... + 859601.

It is an arithmetic number, because the mean of its divisors is an integer number (133205625).

Almost surely, 2^10191512448 is an apocalyptic number.

10191512448 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 10191512448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050320000).

10191512448 is an abundant number, since it is smaller than the sum of its proper divisors (23909127552).

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

10191512448 is a wasteful number, since it uses less digits than its factorization.

10191512448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11994 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10191512448 in words is "ten billion, one hundred ninety-one million, five hundred twelve thousand, four hundred forty-eight".