1613101153664 has 512 divisors, whose sum is σ = 4519561052160. Its totient is φ = 552795217920.

The previous prime is 1613101153639. The next prime is 1613101153673. The reversal of 1613101153664 is 4663511013161.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 904710917 + ... + 904712699.

It is an arithmetic number, because the mean of its divisors is an integer number (8827267680).

Almost surely, 2^{1613101153664} is an apocalyptic number.

1613101153664 is a gapful number since it is divisible by the number (14) 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 1613101153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259780526080).

1613101153664 is an abundant number, since it is smaller than the sum of its proper divisors (2906459898496).

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

1613101153664 is a wasteful number, since it uses less digits than its factorization.

1613101153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 1613101153664 in words is "one trillion, six hundred thirteen billion, one hundred one million, one hundred fifty-three thousand, six hundred sixty-four".