13861345920 has 256 divisors, whose sum is σ = 45120067200. Its totient is φ = 3618717696.

The previous prime is 13861345903. The next prime is 13861345933. The reversal of 13861345920 is 2954316831.

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, 35633086 + ... + 35633474.

Almost surely, 2^13861345920 is an apocalyptic number.

13861345920 is a gapful number since it is divisible by the number (10) 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 13861345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22560033600).

13861345920 is an abundant number, since it is smaller than the sum of its proper divisors (31258721280).

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

13861345920 is a wasteful number, since it uses less digits than its factorization.

13861345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 13861345920 in words is "thirteen billion, eight hundred sixty-one million, three hundred forty-five thousand, nine hundred twenty".