398848133700 has 72 divisors (see below), whose sum is σ = 1282222897760. Its totient is φ = 106359501600.

The previous prime is 398848133689. The next prime is 398848133707. The reversal of 398848133700 is 7331848893.

398848133700 is a `hidden beast` number, since 3 + 98 + 8 + 481 + 3 + 3 + 70 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (398848133707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73858066 + ... + 73863465.

Almost surely, 2^398848133700 is an apocalyptic number.

398848133700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398848133700 is an abundant number, since it is smaller than the sum of its proper divisors (883374764060).

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

398848133700 is a wasteful number, since it uses less digits than its factorization.

398848133700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147721554 (or 147721541 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 398848133700 in words is "three hundred ninety-eight billion, eight hundred forty-eight million, one hundred thirty-three thousand, seven hundred".