15352854048 has 360 divisors, whose sum is σ = 53053793100. Its totient is φ = 4342367232.

The previous prime is 15352854047. The next prime is 15352854053. The reversal of 15352854048 is 84045825351.

15352854048 is a `hidden beast` number, since 1 + 53 + 52 + 8 + 540 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14570421264 + 782432784 = 120708^2 + 27972^2 .

It is a junction number, because it is equal to n+sod(n) for n = 15352853994 and 15352854012.

It is not an unprimeable number, because it can be changed into a prime (15352854047) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13843318 + ... + 13844426.

Almost surely, 2^15352854048 is an apocalyptic number.

15352854048 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 15352854048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26526896550).

15352854048 is an abundant number, since it is smaller than the sum of its proper divisors (37700939052).

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

15352854048 is a wasteful number, since it uses less digits than its factorization.

15352854048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 15352854048 in words is "fifteen billion, three hundred fifty-two million, eight hundred fifty-four thousand, forty-eight".