15484053312 has 588 divisors, whose sum is σ = 57822554916. Its totient is φ = 4075868160.

The previous prime is 15484053311. The next prime is 15484053337. The reversal of 15484053312 is 21335048451.

It can be written as a sum of positive squares in 2 ways, for example, as 3301191936 + 12182861376 = 57456^2 + 110376^2 .

It is a tau number, because it is divible by the number of its divisors (588).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15484053311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 29719612 + ... + 29720132.

Almost surely, 2^15484053312 is an apocalyptic number.

15484053312 is a gapful number since it is divisible by the number (12) 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 15484053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28911277458).

15484053312 is an abundant number, since it is smaller than the sum of its proper divisors (42338501604).

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

15484053312 is an equidigital number, since it uses as much as digits as its factorization.

15484053312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 15484053312 in words is "fifteen billion, four hundred eighty-four million, fifty-three thousand, three hundred twelve".