13345846920 has 192 divisors, whose sum is σ = 50010030720. Its totient is φ = 3023419392.

The previous prime is 13345846897. The next prime is 13345846939. The reversal of 13345846920 is 2964854331.

13345846920 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 584 + 69 + 2 + 0 = 666.

It is a super-2 number, since 2×13345846920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261327 + ... + 308193.

It is an arithmetic number, because the mean of its divisors is an integer number (260468910).

Almost surely, 2^13345846920 is an apocalyptic number.

13345846920 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 13345846920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25005015360).

13345846920 is an abundant number, since it is smaller than the sum of its proper divisors (36664183800).

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

13345846920 is a wasteful number, since it uses less digits than its factorization.

13345846920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47004 (or 46997 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13345846920 in words is "thirteen billion, three hundred forty-five million, eight hundred forty-six thousand, nine hundred twenty".