17145706997376 has 256 divisors, whose sum is σ = 53450830540800. Its totient is φ = 5402246814720.

The previous prime is 17145706997357. The next prime is 17145706997387. The reversal of 17145706997376 is 67379960754171.

17145706997376 is a `hidden beast` number, since 1 + 7 + 1 + 45 + 70 + 69 + 97 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2745955 + ... + 6467741.

It is an arithmetic number, because the mean of its divisors is an integer number (208792306800).

Almost surely, 2^{17145706997376} is an apocalyptic number.

17145706997376 is a gapful number since it is divisible by the number (16) 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 17145706997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26725415270400).

17145706997376 is an abundant number, since it is smaller than the sum of its proper divisors (36305123543424).

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

17145706997376 is a wasteful number, since it uses less digits than its factorization.

17145706997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721884 (or 3721866 counting only the distinct ones).

The product of its (nonzero) digits is 420078960, while the sum is 72.

The spelling of 17145706997376 in words is "seventeen trillion, one hundred forty-five billion, seven hundred six million, nine hundred ninety-seven thousand, three hundred seventy-six".