15406818223104 has 2079 divisors, whose sum is σ = 60060705320091. Its totient is φ = 3933944340480.

The previous prime is 15406818223091. The next prime is 15406818223117. The reversal of 15406818223104 is 40132281860451.

The square root of 15406818223104 is 3925152.

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

15406818223104 is a `hidden beast` number, since 1 + 5 + 406 + 8 + 1 + 8 + 2 + 231 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (15406818223091) and next prime (15406818223117).

It is a tau number, because it is divible by the number of its divisors (2079).

It is a self number, because there is not a number n which added to its sum of digits gives 15406818223104.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 261132512227 + ... + 261132512285.

Almost surely, 2^{15406818223104} is an apocalyptic number.

15406818223104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

15406818223104 is the 3925152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15406818223104

15406818223104 is an abundant number, since it is smaller than the sum of its proper divisors (44653887096987).

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

15406818223104 is an frugal number, since it uses more digits than its factorization.

15406818223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 15406818223104 in words is "fifteen trillion, four hundred six billion, eight hundred eighteen million, two hundred twenty-three thousand, one hundred four".