16357384134000 has 1440 divisors, whose sum is σ = 74222732316096. Its totient is φ = 3451162982400.

The previous prime is 16357384133989. The next prime is 16357384134001. The reversal of 16357384134000 is 43148375361.

16357384134000 is a `hidden beast` number, since 1 + 6 + 3 + 573 + 8 + 41 + 34 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16357384134001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 309555582 + ... + 309608418.

Almost surely, 2^{16357384134000} is an apocalyptic number.

16357384134000 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 16357384134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37111366158048).

16357384134000 is an abundant number, since it is smaller than the sum of its proper divisors (57865348182096).

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

16357384134000 is a wasteful number, since it uses less digits than its factorization.

16357384134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52902 (or 52867 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 16357384134000 in words is "sixteen trillion, three hundred fifty-seven billion, three hundred eighty-four million, one hundred thirty-four thousand".