16074905785974 has 256 divisors, whose sum is σ = 43918848000000. Its totient is φ = 4255550804736.

The previous prime is 16074905785951. The next prime is 16074905786029. The reversal of 16074905785974 is 47958750947061.

16074905785974 is a `hidden beast` number, since 1 + 6 + 0 + 7 + 49 + 0 + 578 + 5 + 9 + 7 + 4 = 666.

It is a super-3 number, since 3×16074905785974³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 505977562 + ... + 506009330.

It is an arithmetic number, because the mean of its divisors is an integer number (171558000000).

Almost surely, 2^{16074905785974} is an apocalyptic number.

16074905785974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16074905785974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21959424000000).

16074905785974 is an abundant number, since it is smaller than the sum of its proper divisors (27843942214026).

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

16074905785974 is a wasteful number, since it uses less digits than its factorization.

16074905785974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33352 (or 33346 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 16074905785974 in words is "sixteen trillion, seventy-four billion, nine hundred five million, seven hundred eighty-five thousand, nine hundred seventy-four".