396148188881088 has 1792 divisors, whose sum is σ = 1526445929779200. Its totient is φ = 99261274521600.

The previous prime is 396148188881017. The next prime is 396148188881147. The reversal of 396148188881088 is 880188881841693.

396148188881088 is a `hidden beast` number, since 396 + 1 + 48 + 1 + 8 + 8 + 88 + 108 + 8 = 666.

It is a super-2 number, since 2×396148188881088² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 396148188880998 and 396148188881016.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19304516268 + ... + 19304536788.

Almost surely, 2^{396148188881088} is an apocalyptic number.

396148188881088 is a gapful number since it is divisible by the number (38) 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 396148188881088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763222964889600).

396148188881088 is an abundant number, since it is smaller than the sum of its proper divisors (1130297740898112).

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

396148188881088 is a wasteful number, since it uses less digits than its factorization.

396148188881088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20658 (or 20630 counting only the distinct ones).

The product of its (nonzero) digits is 1358954496, while the sum is 81.

The spelling of 396148188881088 in words is "three hundred ninety-six trillion, one hundred forty-eight billion, one hundred eighty-eight million, eight hundred eighty-one thousand, eighty-eight".