13499167997952 has 2448 divisors, whose sum is σ = 53954108382720. Its totient is φ = 3210529996800.

The previous prime is 13499167997893. The next prime is 13499167997957. The reversal of 13499167997952 is 25979976199431.

13499167997952 is a `hidden beast` number, since 1 + 3 + 499 + 1 + 6 + 7 + 9 + 9 + 79 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13499167997957) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 221297836002 + ... + 221297836062.

Almost surely, 2^{13499167997952} is an apocalyptic number.

13499167997952 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 13499167997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26977054191360).

13499167997952 is an abundant number, since it is smaller than the sum of its proper divisors (40454940384768).

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

13499167997952 is a wasteful number, since it uses less digits than its factorization.

13499167997952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 136 counting only the distinct ones).

The product of its digits is 2083248720, while the sum is 81.

The spelling of 13499167997952 in words is "thirteen trillion, four hundred ninety-nine billion, one hundred sixty-seven million, nine hundred ninety-seven thousand, nine hundred fifty-two".