163377648 has 320 divisors, whose sum is σ = 585676800. Its totient is φ = 43110144.

The previous prime is 163377629. The next prime is 163377689. The reversal of 163377648 is 846773361.

163377648 is a `hidden beast` number, since 1 + 633 + 7 + 7 + 6 + 4 + 8 = 666.

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

Its product of digits (508032) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5633698 + ... + 5633726.

It is an arithmetic number, because the mean of its divisors is an integer number (1830240).

Almost surely, 2^163377648 is an apocalyptic number.

163377648 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 163377648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292838400).

163377648 is an abundant number, since it is smaller than the sum of its proper divisors (422299152).

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

163377648 is an equidigital number, since it uses as much as digits as its factorization.

163377648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 163377648 is about 12781.9266153425. The cubic root of 163377648 is about 546.6770974280.

It can be divided in two parts, 163377 and 648, that added together give a square (164025 = 405²).

The spelling of 163377648 in words is "one hundred sixty-three million, three hundred seventy-seven thousand, six hundred forty-eight".