13469537952 has 360 divisors, whose sum is σ = 43474060476. Its totient is φ = 4088807424.

The previous prime is 13469537923. The next prime is 13469537953. The reversal of 13469537952 is 25973596431.

13469537952 is a `hidden beast` number, since 13 + 4 + 6 + 9 + 537 + 95 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 123743376 + 13345794576 = 11124^2 + 115524^2 .

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

Its product of digits (6123600) is a multiple of the sum of its prime divisors (432).

It is not an unprimeable number, because it can be changed into a prime (13469537953) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42490498 + ... + 42490814.

Almost surely, 2^13469537952 is an apocalyptic number.

13469537952 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 13469537952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21737030238).

13469537952 is an abundant number, since it is smaller than the sum of its proper divisors (30004522524).

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

13469537952 is a wasteful number, since it uses less digits than its factorization.

13469537952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 432 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The spelling of 13469537952 in words is "thirteen billion, four hundred sixty-nine million, five hundred thirty-seven thousand, nine hundred fifty-two".