13748969780784 has 300 divisors, whose sum is σ = 46498034810304. Its totient is φ = 3910657459968.

The previous prime is 13748969780747. The next prime is 13748969780839. The reversal of 13748969780784 is 48708796984731.

13748969780784 is a `hidden beast` number, since 1 + 3 + 7 + 489 + 69 + 7 + 8 + 0 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13675954 + ... + 14646830.

Almost surely, 2^{13748969780784} is an apocalyptic number.

13748969780784 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 13748969780784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23249017405152).

13748969780784 is an abundant number, since it is smaller than the sum of its proper divisors (32749065029520).

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

13748969780784 is a wasteful number, since it uses less digits than its factorization.

13748969780784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971134 (or 971112 counting only the distinct ones).

The product of its (nonzero) digits is 4096770048, while the sum is 81.

The spelling of 13748969780784 in words is "thirteen trillion, seven hundred forty-eight billion, nine hundred sixty-nine million, seven hundred eighty thousand, seven hundred eighty-four".