13574114064 has 405 divisors, whose sum is σ = 47286791253. Its totient is φ = 3623864832.

The previous prime is 13574114041. The next prime is 13574114077. The reversal of 13574114064 is 46041147531.

The square root of 13574114064 is 116508.

It is a perfect power (a square), and thus also a powerful number.

13574114064 is a `hidden beast` number, since 13 + 574 + 1 + 14 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7705328400 + 5868785664 = 87780^2 + 76608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 185946732 + ... + 185946804.

Almost surely, 2^13574114064 is an apocalyptic number.

13574114064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13574114064 is the 116508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13574114064

13574114064 is an abundant number, since it is smaller than the sum of its proper divisors (33712677189).

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

13574114064 is a wasteful number, since it uses less digits than its factorization.

13574114064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 13574114064 by its sum of digits (36), we get a square (488668106304 = 699048²).

13574114064 divided by its sum of digits (36) gives a square (377058724 = 19418²).

The spelling of 13574114064 in words is "thirteen billion, five hundred seventy-four million, one hundred fourteen thousand, sixty-four".