13745033952 has 192 divisors, whose sum is σ = 41496053760. Its totient is φ = 3951360000.

The previous prime is 13745033839. The next prime is 13745033969. The reversal of 13745033952 is 25933054731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1115827 + ... + 1128077.

It is an arithmetic number, because the mean of its divisors is an integer number (216125280).

Almost surely, 2^13745033952 is an apocalyptic number.

13745033952 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 13745033952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748026880).

13745033952 is an abundant number, since it is smaller than the sum of its proper divisors (27751019808).

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

13745033952 is a wasteful number, since it uses less digits than its factorization.

13745033952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12337 (or 12329 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The spelling of 13745033952 in words is "thirteen billion, seven hundred forty-five million, thirty-three thousand, nine hundred fifty-two".