13648845510 has 96 divisors (see below), whose sum is σ = 37606140000. Its totient is φ = 3424923648.

The previous prime is 13648845481. The next prime is 13648845557. The reversal of 13648845510 is 1554884631.

13648845510 is a `hidden beast` number, since 13 + 6 + 4 + 8 + 84 + 551 + 0 = 666.

13648845510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228006 + ... + 281574.

It is an arithmetic number, because the mean of its divisors is an integer number (391730625).

Almost surely, 2^13648845510 is an apocalyptic number.

13648845510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13648845510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18803070000).

13648845510 is an abundant number, since it is smaller than the sum of its proper divisors (23957294490).

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

13648845510 is a wasteful number, since it uses less digits than its factorization.

13648845510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53750 (or 53747 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 13648845510 in words is "thirteen billion, six hundred forty-eight million, eight hundred forty-five thousand, five hundred ten".