13745259651600 has 675 divisors, whose sum is σ = 50610195115293. Its totient is φ = 3572686414080.

The previous prime is 13745259651577. The next prime is 13745259651707. The reversal of 13745259651600 is 615695254731.

The square root of 13745259651600 is 3707460.

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

13745259651600 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 5 + 25 + 9 + 6 + 5 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4948293474576 + 8796966177024 = 2224476^2 + 2965968^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 28695740161 + ... + 28695740639.

Almost surely, 2^{13745259651600} is an apocalyptic number.

13745259651600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13745259651600 is the 3707460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13745259651600

13745259651600 is an abundant number, since it is smaller than the sum of its proper divisors (36864935463693).

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

13745259651600 is an frugal number, since it uses more digits than its factorization.

13745259651600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 13745259651600 in words is "thirteen trillion, seven hundred forty-five billion, two hundred fifty-nine million, six hundred fifty-one thousand, six hundred".