162401161216 has 104 divisors (see below), whose sum is σ = 383132255744. Its totient is φ = 67354951680.

The previous prime is 162401161187. The next prime is 162401161231. The reversal of 162401161216 is 612161104261.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797476 + ... + 980188.

Almost surely, 2^162401161216 is an apocalyptic number.

162401161216 is a gapful number since it is divisible by the number (16) 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 162401161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191566127872).

162401161216 is an abundant number, since it is smaller than the sum of its proper divisors (220731094528).

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

162401161216 is an equidigital number, since it uses as much as digits as its factorization.

162401161216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182775 (or 182753 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

Adding to 162401161216 its reverse (612161104261), we get a palindrome (774562265477).

The spelling of 162401161216 in words is "one hundred sixty-two billion, four hundred one million, one hundred sixty-one thousand, two hundred sixteen".