13850034428160 has 3600 divisors, whose sum is σ = 62846690417280. Its totient is φ = 2904154767360.

The previous prime is 13850034428143. The next prime is 13850034428207. The reversal of 13850034428160 is 6182443005831.

13850034428160 is a `hidden beast` number, since 1 + 3 + 8 + 500 + 3 + 4 + 4 + 2 + 81 + 60 = 666.

It is a super-2 number, since 2×13850034428160² (a number of 27 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 399 ways as a sum of consecutive naturals, for example, 234746346211 + ... + 234746346269.

Almost surely, 2^{13850034428160} is an apocalyptic number.

13850034428160 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 13850034428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31423345208640).

13850034428160 is an abundant number, since it is smaller than the sum of its proper divisors (48996655989120).

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

13850034428160 is an frugal number, since it uses more digits than its factorization.

13850034428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 13850034428160 in words is "thirteen trillion, eight hundred fifty billion, thirty-four million, four hundred twenty-eight thousand, one hundred sixty".