15383088048384 has 567 divisors, whose sum is σ = 53595810669177. Its totient is φ = 4391779295232.

The previous prime is 15383088048373. The next prime is 15383088048409. The reversal of 15383088048384 is 48384088038351.

The square root of 15383088048384 is 3922128.

It is a perfect power (a square), and thus also a powerful number.

15383088048384 is a `hidden beast` number, since 15 + 38 + 30 + 8 + 8 + 0 + 483 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15335682566400 + 47405481984 = 3916080^2 + 217728^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a super-2 number, since 2×15383088048384² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 11860514424 + ... + 11860515720.

Almost surely, 2^{15383088048384} is an apocalyptic number.

15383088048384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

15383088048384 is the 3922128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15383088048384

15383088048384 is an abundant number, since it is smaller than the sum of its proper divisors (38212722620793).

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

15383088048384 is an frugal number, since it uses more digits than its factorization.

15383088048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 15383088048384 in words is "fifteen trillion, three hundred eighty-three billion, eighty-eight million, forty-eight thousand, three hundred eighty-four".