161613411840 has 640 divisors, whose sum is σ = 602824273920. Its totient is φ = 40962392064.

The previous prime is 161613411833. The next prime is 161613411847. The reversal of 161613411840 is 48114316161.

161613411840 is a `hidden beast` number, since 1 + 6 + 161 + 3 + 411 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161613411833) and next prime (161613411847).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×161613411840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 161613411795 and 161613411804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161613411847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440363337 + ... + 440363703.

It is an arithmetic number, because the mean of its divisors is an integer number (941912928).

Almost surely, 2^161613411840 is an apocalyptic number.

161613411840 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 161613411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301412136960).

161613411840 is an abundant number, since it is smaller than the sum of its proper divisors (441210862080).

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

161613411840 is a wasteful number, since it uses less digits than its factorization.

161613411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 161613411840 in words is "one hundred sixty-one billion, six hundred thirteen million, four hundred eleven thousand, eight hundred forty".