13338048045504 has 168 divisors, whose sum is σ = 43672806410880. Its totient is φ = 3517726897152.

The previous prime is 13338048045473. The next prime is 13338048045559. The reversal of 13338048045504 is 40554084083331.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×13338048045504² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29134234 + ... + 29588505.

Almost surely, 2^{13338048045504} is an apocalyptic number.

13338048045504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13338048045504 is an abundant number, since it is smaller than the sum of its proper divisors (30334758365376).

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

13338048045504 is a wasteful number, since it uses less digits than its factorization.

13338048045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58722787 (or 58722764 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 13338048045504 in words is "thirteen trillion, three hundred thirty-eight billion, forty-eight million, forty-five thousand, five hundred four".