13748918400 has 768 divisors, whose sum is σ = 58281984000. Its totient is φ = 3100446720.

The previous prime is 13748918399. The next prime is 13748918401. The reversal of 13748918400 is 481984731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13748918399) and next prime (13748918401).

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

It is not an unprimeable number, because it can be changed into a prime (13748918401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76809511 + ... + 76809689.

It is an arithmetic number, because the mean of its divisors is an integer number (75888000).

Almost surely, 2^13748918400 is an apocalyptic number.

13748918400 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 13748918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29140992000).

13748918400 is an abundant number, since it is smaller than the sum of its proper divisors (44533065600).

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

13748918400 is a wasteful number, since it uses less digits than its factorization.

13748918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13748918400 in words is "thirteen billion, seven hundred forty-eight million, nine hundred eighteen thousand, four hundred".