398673541951776 has 288 divisors, whose sum is σ = 1425045856485888. Its totient is φ = 102907549440000.

The previous prime is 398673541951771. The next prime is 398673541951807. The reversal of 398673541951776 is 677159145376893.

398673541951776 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 7 + 354 + 1 + 95 + 177 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 398673541951695 and 398673541951704.

It is not an unprimeable number, because it can be changed into a prime (398673541951771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160596975 + ... + 163060526.

It is an arithmetic number, because the mean of its divisors is an integer number (4948075890576).

Almost surely, 2^{398673541951776} is an apocalyptic number.

398673541951776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

398673541951776 is an abundant number, since it is smaller than the sum of its proper divisors (1026372314534112).

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

398673541951776 is a wasteful number, since it uses less digits than its factorization.

398673541951776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323657584 (or 323657573 counting only the distinct ones).

The product of its digits is 7201353600, while the sum is 81.

The spelling of 398673541951776 in words is "three hundred ninety-eight trillion, six hundred seventy-three billion, five hundred forty-one million, nine hundred fifty-one thousand, seven hundred seventy-six".