13356552474048 has 336 divisors, whose sum is σ = 42234307748640. Its totient is φ = 3711754174464.

The previous prime is 13356552474047. The next prime is 13356552474143. The reversal of 13356552474048 is 84047425565331.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13356552474047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1551459568 + ... + 1551468176.

It is an arithmetic number, because the mean of its divisors is an integer number (125697344490).

Almost surely, 2^{13356552474048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13356552474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21117153874320).

13356552474048 is an abundant number, since it is smaller than the sum of its proper divisors (28877755274592).

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

13356552474048 is a wasteful number, since it uses less digits than its factorization.

13356552474048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13132 (or 13115 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 57.

The spelling of 13356552474048 in words is "thirteen trillion, three hundred fifty-six billion, five hundred fifty-two million, four hundred seventy-four thousand, forty-eight".