13642707204 has 243 divisors, whose sum is σ = 42065226567. Its totient is φ = 3860072496.

The previous prime is 13642707181. The next prime is 13642707227. The reversal of 13642707204 is 40270724631.

The square root of 13642707204 is 116802.

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

13642707204 is a `hidden beast` number, since 1 + 3 + 642 + 7 + 0 + 7 + 2 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13642707181) and next prime (13642707227).

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×13642707204² (a number of 21 digits) contains 22 as substring.

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, 132453417 + ... + 132453519.

Almost surely, 2^13642707204 is an apocalyptic number.

13642707204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13642707204 is the 116802-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13642707204

13642707204 is an abundant number, since it is smaller than the sum of its proper divisors (28422519363).

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

13642707204 is an frugal number, since it uses more digits than its factorization.

13642707204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Multiplying 13642707204 by its sum of digits (36), we get a square (491137459344 = 700812²).

13642707204 divided by its sum of digits (36) gives a square (378964089 = 19467²).

The spelling of 13642707204 in words is "thirteen billion, six hundred forty-two million, seven hundred seven thousand, two hundred four".