13929133353408 has 1792 divisors, whose sum is σ = 53221883904000. Its totient is φ = 3474431262720.

The previous prime is 13929133353353. The next prime is 13929133353419. The reversal of 13929133353408 is 80435333192931.

13929133353408 is a `hidden beast` number, since 1 + 3 + 9 + 291 + 3 + 3 + 3 + 5 + 340 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 69995644893 + ... + 69995645091.

It is an arithmetic number, because the mean of its divisors is an integer number (29699712000).

Almost surely, 2^{13929133353408} is an apocalyptic number.

13929133353408 is a gapful number since it is divisible by the number (18) 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 13929133353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26610941952000).

13929133353408 is an abundant number, since it is smaller than the sum of its proper divisors (39292750550592).

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

13929133353408 is a wasteful number, since it uses less digits than its factorization.

13929133353408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 13929133353408 in words is "thirteen trillion, nine hundred twenty-nine billion, one hundred thirty-three million, three hundred fifty-three thousand, four hundred eight".