13837114368000 has 5376 divisors, whose sum is σ = 69813384855552. Its totient is φ = 2548039680000.

The previous prime is 13837114367987. The next prime is 13837114368013. The reversal of 13837114368000 is 86341173831.

13837114368000 is a `hidden beast` number, since 1 + 383 + 71 + 143 + 68 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13837114367987) and next prime (13837114368013).

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×13837114368000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 373976063982 + ... + 373976064018.

Almost surely, 2^{13837114368000} is an apocalyptic number.

13837114368000 is a gapful number since it is divisible by the number (10) 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 13837114368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34906692427776).

13837114368000 is an abundant number, since it is smaller than the sum of its proper divisors (55976270487552).

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

13837114368000 is a wasteful number, since it uses less digits than its factorization.

13837114368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13837114368000 in words is "thirteen trillion, eight hundred thirty-seven billion, one hundred fourteen million, three hundred sixty-eight thousand".