626162161261626 has 256 divisors, whose sum is σ = 1586279465164800. Its totient is φ = 181341302688000.

The previous prime is 626162161261601. The next prime is 626162161261631.

626162161261626 is a `hidden beast` number, since 6 + 2 + 6 + 1 + 6 + 2 + 1 + 6 + 1 + 2 + 6 + 1 + 626 = 666.

626162161261626 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×626162161261626³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6867047631 + ... + 6867138813.

It is an arithmetic number, because the mean of its divisors is an integer number (6196404160800).

Almost surely, 2^{626162161261626} is an apocalyptic number.

626162161261626 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 626162161261626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793139732582400).

626162161261626 is an abundant number, since it is smaller than the sum of its proper divisors (960117303903174).

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

626162161261626 is a wasteful number, since it uses less digits than its factorization.

626162161261626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95282 (or 95276 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 626162161261626 in words is "six hundred twenty-six trillion, one hundred sixty-two billion, one hundred sixty-one million, two hundred sixty-one thousand, six hundred twenty-six".