16345295574930 has 320 divisors, whose sum is σ = 54162602968320. Its totient is φ = 3453103872000.

The previous prime is 16345295574919. The next prime is 16345295574947. The reversal of 16345295574930 is 3947559254361.

16345295574930 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 5 + 2 + 9 + 557 + 49 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2566630 + ... + 6267230.

It is an arithmetic number, because the mean of its divisors is an integer number (169258134276).

Almost surely, 2^{16345295574930} is an apocalyptic number.

16345295574930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16345295574930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27081301484160).

16345295574930 is an abundant number, since it is smaller than the sum of its proper divisors (37817307393390).

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

16345295574930 is a wasteful number, since it uses less digits than its factorization.

16345295574930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700687 (or 3700678 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 16345295574930 in words is "sixteen trillion, three hundred forty-five billion, two hundred ninety-five million, five hundred seventy-four thousand, nine hundred thirty".