13439211552 has 480 divisors, whose sum is σ = 46680202800. Its totient is φ = 3753050112.

The previous prime is 13439211547. The next prime is 13439211557. The reversal of 13439211552 is 25511293431.

It is a happy number.

13439211552 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 92 + 11 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (13439211547) and next prime (13439211557).

It can be written as a sum of positive squares in 8 ways, for example, as 9094292496 + 4344919056 = 95364^2 + 65916^2 .

It is a super-2 number, since 2×13439211552² (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 not an unprimeable number, because it can be changed into a prime (13439211557) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16611724 + ... + 16612532.

Almost surely, 2^13439211552 is an apocalyptic number.

13439211552 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 13439211552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340101400).

13439211552 is an abundant number, since it is smaller than the sum of its proper divisors (33240991248).

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

13439211552 is a wasteful number, since it uses less digits than its factorization.

13439211552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 873 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 13439211552 in words is "thirteen billion, four hundred thirty-nine million, two hundred eleven thousand, five hundred fifty-two".