1617314742032 has 320 divisors, whose sum is σ = 3868424904960. Its totient is φ = 645503385600.

The previous prime is 1617314742019. The next prime is 1617314742059. The reversal of 1617314742032 is 2302474137161.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1328935088 + ... + 1328936304.

It is an arithmetic number, because the mean of its divisors is an integer number (12088827828).

Almost surely, 2^{1617314742032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1617314742032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934212452480).

1617314742032 is an abundant number, since it is smaller than the sum of its proper divisors (2251110162928).

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

1617314742032 is a wasteful number, since it uses less digits than its factorization.

1617314742032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

Adding to 1617314742032 its reverse (2302474137161), we get a palindrome (3919788879193).

The spelling of 1617314742032 in words is "one trillion, six hundred seventeen billion, three hundred fourteen million, seven hundred forty-two thousand, thirty-two".