13145787648 has 288 divisors, whose sum is σ = 44901937920. Its totient is φ = 3715891200.

The previous prime is 13145787643. The next prime is 13145787649. The reversal of 13145787648 is 84678754131.

13145787648 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 578 + 7 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13145787594 and 13145787603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13145787643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4691848 + ... + 4694648.

Almost surely, 2^13145787648 is an apocalyptic number.

13145787648 is a gapful number since it is divisible by the number (18) 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 13145787648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22450968960).

13145787648 is an abundant number, since it is smaller than the sum of its proper divisors (31756150272).

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

13145787648 is an equidigital number, since it uses as much as digits as its factorization.

13145787648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2910 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 13145787648 in words is "thirteen billion, one hundred forty-five million, seven hundred eighty-seven thousand, six hundred forty-eight".