163379756187648 has 2400 divisors, whose sum is σ = 689960154723840. Its totient is φ = 37104553820160.

The previous prime is 163379756187607. The next prime is 163379756187691. The reversal of 163379756187648 is 846781657973361.

163379756187648 is a `hidden beast` number, since 1 + 6 + 3 + 3 + 7 + 9 + 7 + 561 + 8 + 7 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25240187740 + ... + 25240194212.

Almost surely, 2^{163379756187648} is an apocalyptic number.

163379756187648 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 163379756187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344980077361920).

163379756187648 is an abundant number, since it is smaller than the sum of its proper divisors (526580398536192).

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

163379756187648 is a wasteful number, since it uses less digits than its factorization.

163379756187648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6563 (or 6528 counting only the distinct ones).

The product of its digits is 7681443840, while the sum is 81.

The spelling of 163379756187648 in words is "one hundred sixty-three trillion, three hundred seventy-nine billion, seven hundred fifty-six million, one hundred eighty-seven thousand, six hundred forty-eight".