161418915337680 has 3840 divisors, whose sum is σ = 773474124487680. Its totient is φ = 30790989250560.

The previous prime is 161418915337657. The next prime is 161418915337723. The reversal of 161418915337680 is 86733519814161.

161418915337680 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 1 + 8 + 91 + 533 + 7 + 6 + 8 + 0 = 666.

161418915337680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 432758485974 + ... + 432758486346.

It is an arithmetic number, because the mean of its divisors is an integer number (201425553252).

Almost surely, 2^{161418915337680} is an apocalyptic number.

161418915337680 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 161418915337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386737062243840).

161418915337680 is an abundant number, since it is smaller than the sum of its proper divisors (612055209150000).

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

161418915337680 is a wasteful number, since it uses less digits than its factorization.

161418915337680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 161418915337680 in words is "one hundred sixty-one trillion, four hundred eighteen billion, nine hundred fifteen million, three hundred thirty-seven thousand, six hundred eighty".