13800142347264 has 1232 divisors, whose sum is σ = 51880230343872. Its totient is φ = 3569994694656.

The previous prime is 13800142347263. The next prime is 13800142347331. The reversal of 13800142347264 is 46274324100831.

13800142347264 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 0 + 1 + 42 + 347 + 264 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800142347263) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3600348292 + ... + 3600352124.

Almost surely, 2^{13800142347264} is an apocalyptic number.

13800142347264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13800142347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25940115171936).

13800142347264 is an abundant number, since it is smaller than the sum of its proper divisors (38080087996608).

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

13800142347264 is an equidigital number, since it uses as much as digits as its factorization.

13800142347264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 13800142347264 in words is "thirteen trillion, eight hundred billion, one hundred forty-two million, three hundred forty-seven thousand, two hundred sixty-four".