187412814414400 has 189 divisors, whose sum is σ = 486728301041451. Its totient is φ = 71015650145280.

The previous prime is 187412814414377. The next prime is 187412814414421. The reversal of 187412814414400 is 4414418214781.

The square root of 187412814414400 is 13689880.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25073413816896 + 162339400597504 = 5007336^2 + 12741248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10404299794 + ... + 10404317806.

Almost surely, 2^{187412814414400} is an apocalyptic number.

187412814414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

187412814414400 is the 13689880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187412814414400

187412814414400 is an abundant number, since it is smaller than the sum of its proper divisors (299315486627051).

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

187412814414400 is an frugal number, since it uses more digits than its factorization.

187412814414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36086 (or 18039 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 49.

The spelling of 187412814414400 in words is "one hundred eighty-seven trillion, four hundred twelve billion, eight hundred fourteen million, four hundred fourteen thousand, four hundred".