405791181648 has 80 divisors (see below), whose sum is σ = 1173662529600. Its totient is φ = 134231160960.

The previous prime is 405791181637. The next prime is 405791181673. The reversal of 405791181648 is 846181197504.

405791181648 is a `hidden beast` number, since 4 + 0 + 579 + 1 + 1 + 8 + 1 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 405791181594 and 405791181603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3528643 + ... + 3641826.

It is an arithmetic number, because the mean of its divisors is an integer number (14670781620).

Almost surely, 2^405791181648 is an apocalyptic number.

405791181648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

405791181648 is an abundant number, since it is smaller than the sum of its proper divisors (767871347952).

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

405791181648 is a wasteful number, since it uses less digits than its factorization.

405791181648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7170617 (or 7170605 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 405791181648 in words is "four hundred five billion, seven hundred ninety-one million, one hundred eighty-one thousand, six hundred forty-eight".