161854858368 has 384 divisors, whose sum is σ = 555324981120. Its totient is φ = 45966237696.

The previous prime is 161854858349. The next prime is 161854858427. The reversal of 161854858368 is 863858458161.

161854858368 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 5 + 48 + 583 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37664796 + ... + 37669092.

It is an arithmetic number, because the mean of its divisors is an integer number (1446158805).

Almost surely, 2^161854858368 is an apocalyptic number.

161854858368 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 161854858368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277662490560).

161854858368 is an abundant number, since it is smaller than the sum of its proper divisors (393470122752).

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

161854858368 is an equidigital number, since it uses as much as digits as its factorization.

161854858368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 4482 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 63.

The spelling of 161854858368 in words is "one hundred sixty-one billion, eight hundred fifty-four million, eight hundred fifty-eight thousand, three hundred sixty-eight".