13374112752000 has 6144 divisors, whose sum is σ = 69125516328960. Its totient is φ = 2388787200000.

The previous prime is 13374112751981. The next prime is 13374112752019. The reversal of 13374112752000 is 25721147331.

13374112752000 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 4 + 1 + 127 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13374112751981) and next prime (13374112752019).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 183207023964 + ... + 183207024036.

It is an arithmetic number, because the mean of its divisors is an integer number (11250897840).

Almost surely, 2^{13374112752000} is an apocalyptic number.

13374112752000 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 13374112752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34562758164480).

13374112752000 is an abundant number, since it is smaller than the sum of its proper divisors (55751403576960).

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

13374112752000 is a wasteful number, since it uses less digits than its factorization.

13374112752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 13374112752000 its reverse (25721147331), we get a palindrome (13399833899331).

The spelling of 13374112752000 in words is "thirteen trillion, three hundred seventy-four billion, one hundred twelve million, seven hundred fifty-two thousand".