1613640442968 has 192 divisors, whose sum is σ = 4554980352000. Its totient is φ = 515607296256.

The previous prime is 1613640442961. The next prime is 1613640442991. The reversal of 1613640442968 is 8692440463161.

1613640442968 is a `hidden beast` number, since 1 + 6 + 136 + 4 + 0 + 442 + 9 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613640442961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100800421 + ... + 100816427.

It is an arithmetic number, because the mean of its divisors is an integer number (23723856000).

Almost surely, 2^{1613640442968} is an apocalyptic number.

1613640442968 is a gapful number since it is divisible by the number (18) 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 1613640442968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277490176000).

1613640442968 is an abundant number, since it is smaller than the sum of its proper divisors (2941339909032).

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

1613640442968 is a wasteful number, since it uses less digits than its factorization.

1613640442968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16614 (or 16607 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1613640442968 in words is "one trillion, six hundred thirteen billion, six hundred forty million, four hundred forty-two thousand, nine hundred sixty-eight".