15948006048 has 288 divisors, whose sum is σ = 50692561920. Its totient is φ = 4722831360.

The previous prime is 15948006043. The next prime is 15948006089. The reversal of 15948006048 is 84060084951.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 15948005994 and 15948006012.

It is not an unprimeable number, because it can be changed into a prime (15948006043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36327813 + ... + 36328251.

It is an arithmetic number, because the mean of its divisors is an integer number (176015840).

Almost surely, 2^15948006048 is an apocalyptic number.

15948006048 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 15948006048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25346280960).

15948006048 is an abundant number, since it is smaller than the sum of its proper divisors (34744555872).

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

15948006048 is a wasteful number, since it uses less digits than its factorization.

15948006048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 15948006048 in words is "fifteen billion, nine hundred forty-eight million, six thousand, forty-eight".