13349641368000 has 896 divisors, whose sum is σ = 51625824307200. Its totient is φ = 2975964364800.

The previous prime is 13349641367971. The next prime is 13349641368029. The reversal of 13349641368000 is 86314694331.

It is an interprime number because it is at equal distance from previous prime (13349641367971) and next prime (13349641368029).

It is a super-2 number, since 2×13349641368000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8618231226 + ... + 8618232774.

Almost surely, 2^{13349641368000} is an apocalyptic number.

13349641368000 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 13349641368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25812912153600).

13349641368000 is an abundant number, since it is smaller than the sum of its proper divisors (38276182939200).

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

13349641368000 is a wasteful number, since it uses less digits than its factorization.

13349641368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 13349641368000 in words is "thirteen trillion, three hundred forty-nine billion, six hundred forty-one million, three hundred sixty-eight thousand".