162625671648 has 768 divisors, whose sum is σ = 565187051520. Its totient is φ = 44980531200.

The previous prime is 162625671601. The next prime is 162625671673. The reversal of 162625671648 is 846176526261.

162625671648 is a `hidden beast` number, since 1 + 6 + 2 + 62 + 567 + 16 + 4 + 8 = 666.

It is a super-2 number, since 2×162625671648² (a number of 23 digits) contains 22 as substring.

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

Its product of digits (5806080) is a multiple of the sum of its prime factors (420).

It is a junction number, because it is equal to n+sod(n) for n = 162625671594 and 162625671603.

It is a congruent number.

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, 697964140 + ... + 697964372.

It is an arithmetic number, because the mean of its divisors is an integer number (735920640).

Almost surely, 2^162625671648 is an apocalyptic number.

162625671648 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 162625671648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282593525760).

162625671648 is an abundant number, since it is smaller than the sum of its proper divisors (402561379872).

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

162625671648 is a wasteful number, since it uses less digits than its factorization.

162625671648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 162625671648 in words is "one hundred sixty-two billion, six hundred twenty-five million, six hundred seventy-one thousand, six hundred forty-eight".