1616540073408 has 336 divisors, whose sum is σ = 5234766264000. Its totient is φ = 473476792320.

The previous prime is 1616540073403. The next prime is 1616540073419. The reversal of 1616540073408 is 8043700456161.

1616540073408 is a `hidden beast` number, since 1 + 61 + 6 + 540 + 0 + 7 + 3 + 40 + 8 = 666.

It is a super-2 number, since 2×1616540073408² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616540073403) 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, 15365368 + ... + 15470216.

It is an arithmetic number, because the mean of its divisors is an integer number (15579661500).

Almost surely, 2^{1616540073408} is an apocalyptic number.

1616540073408 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 1616540073408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617383132000).

1616540073408 is an abundant number, since it is smaller than the sum of its proper divisors (3618226190592).

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

1616540073408 is a wasteful number, since it uses less digits than its factorization.

1616540073408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104980 (or 104967 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1616540073408 in words is "one trillion, six hundred sixteen billion, five hundred forty million, seventy-three thousand, four hundred eight".