13601400768 has 140 divisors (see below), whose sum is σ = 40387795272. Its totient is φ = 4526046720.

The previous prime is 13601400767. The next prime is 13601400793. The reversal of 13601400768 is 86700410631.

13601400768 is a `hidden beast` number, since 1 + 3 + 601 + 40 + 0 + 7 + 6 + 8 = 666.

13601400768 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13601400767) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3580246 + ... + 3584042.

Almost surely, 2^13601400768 is an apocalyptic number.

13601400768 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 13601400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20193897636).

13601400768 is an abundant number, since it is smaller than the sum of its proper divisors (26786394504).

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

13601400768 is an equidigital number, since it uses as much as digits as its factorization.

13601400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13601400768 in words is "thirteen billion, six hundred one million, four hundred thousand, seven hundred sixty-eight".