13744221582400 has 63 divisors (see below), whose sum is σ = 33819740128101. Its totient is φ = 5497629315840.

The previous prime is 13744221582383. The next prime is 13744221582409. The reversal of 13744221582400 is 428512244731.

The square root of 13744221582400 is 3707320.

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

It can be written as a sum of positive squares in only one way, i.e., 4947919769664 + 8796301812736 = 2224392^2 + 2965856^2 .

It is a super-2 number, since 2×13744221582400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13744221582409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 148246459 + ... + 148339141.

Almost surely, 2^{13744221582400} is an apocalyptic number.

13744221582400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13744221582400 is the 3707320-th square number.

It is an amenable number.

13744221582400 is an abundant number, since it is smaller than the sum of its proper divisors (20075518545701).

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

13744221582400 is an frugal number, since it uses more digits than its factorization.

13744221582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185388 (or 92690 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 13744221582400 in words is "thirteen trillion, seven hundred forty-four billion, two hundred twenty-one million, five hundred eighty-two thousand, four hundred".