13474289952 has 192 divisors, whose sum is σ = 41023584000. Its totient is φ = 4297273344.

The previous prime is 13474289921. The next prime is 13474289993. The reversal of 13474289952 is 25998247431.

13474289952 is a `hidden beast` number, since 1 + 3 + 474 + 2 + 89 + 95 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2828949 + ... + 2833707.

It is an arithmetic number, because the mean of its divisors is an integer number (213664500).

Almost surely, 2^13474289952 is an apocalyptic number.

13474289952 is a gapful number since it is divisible by the number (12) 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 13474289952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20511792000).

13474289952 is an abundant number, since it is smaller than the sum of its proper divisors (27549294048).

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

13474289952 is a wasteful number, since it uses less digits than its factorization.

13474289952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4920 (or 4906 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 13474289952 in words is "thirteen billion, four hundred seventy-four million, two hundred eighty-nine thousand, nine hundred fifty-two".