13917227136400 has 135 divisors (see below), whose sum is σ = 38896559230689. Its totient is φ = 4771441664640.

The previous prime is 13917227136389. The next prime is 13917227136403. The reversal of 13917227136400 is 463172271931.

The square root of 13917227136400 is 3730580.

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., 5010201769104 + 8907025367296 = 2238348^2 + 2984464^2 .

It is a super-2 number, since 2×13917227136400² (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 (13917227136403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 522267877 + ... + 522294523.

Almost surely, 2^{13917227136400} is an apocalyptic number.

13917227136400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13917227136400 is the 3730580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13917227136400

13917227136400 is an abundant number, since it is smaller than the sum of its proper divisors (24979332094289).

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

13917227136400 is an frugal number, since it uses more digits than its factorization.

13917227136400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53326 (or 26661 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 13917227136400 in words is "thirteen trillion, nine hundred seventeen billion, two hundred twenty-seven million, one hundred thirty-six thousand, four hundred".