1617616000000 has 1232 divisors, whose sum is σ = 5480772345216. Its totient is φ = 460800000000.

The previous prime is 1617615999997. The next prime is 1617616000031. The reversal of 1617616000000 is 6167161.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16015999950 + ... + 16016000050.

Almost surely, 2^{1617616000000} is an apocalyptic number.

1617616000000 is a gapful number since it is divisible by the number (10) 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 1617616000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740386172608).

1617616000000 is an abundant number, since it is smaller than the sum of its proper divisors (3863156345216).

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

1617616000000 is an equidigital number, since it uses as much as digits as its factorization.

1617616000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 1617616000000 in words is "one trillion, six hundred seventeen billion, six hundred sixteen million", and thus it is an aban number.