1617495254172 has 240 divisors, whose sum is σ = 4934626065600. Its totient is φ = 461814804864.

The previous prime is 1617495254161. The next prime is 1617495254213. The reversal of 1617495254172 is 2714525947161.

1617495254172 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 4 + 9 + 525 + 41 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 188142178 + ... + 188150774.

It is an arithmetic number, because the mean of its divisors is an integer number (20560941940).

Almost surely, 2^{1617495254172} is an apocalyptic number.

1617495254172 is a gapful number since it is divisible by the number (12) 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 1617495254172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467313032800).

1617495254172 is an abundant number, since it is smaller than the sum of its proper divisors (3317130811428).

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

1617495254172 is a wasteful number, since it uses less digits than its factorization.

1617495254172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10327 (or 10302 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 1617495254172 in words is "one trillion, six hundred seventeen billion, four hundred ninety-five million, two hundred fifty-four thousand, one hundred seventy-two".