13494672576 has 672 divisors, whose sum is σ = 51124469760. Its totient is φ = 3427660800.

The previous prime is 13494672559. The next prime is 13494672577. The reversal of 13494672576 is 67527649431.

13494672576 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 4 + 67 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13494672577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70652641 + ... + 70652831.

It is an arithmetic number, because the mean of its divisors is an integer number (76078080).

Almost surely, 2^13494672576 is an apocalyptic number.

13494672576 is a gapful number since it is divisible by the number (16) 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 13494672576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25562234880).

13494672576 is an abundant number, since it is smaller than the sum of its proper divisors (37629797184).

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

13494672576 is a wasteful number, since it uses less digits than its factorization.

13494672576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 273 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 13494672576 in words is "thirteen billion, four hundred ninety-four million, six hundred seventy-two thousand, five hundred seventy-six".