205414686148 has 48 divisors (see below), whose sum is σ = 419656204800. Its totient is φ = 87941929152.

The previous prime is 205414686133. The next prime is 205414686163. The reversal of 205414686148 is 841686414502.

It is an interprime number because it is at equal distance from previous prime (205414686133) and next prime (205414686163).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228965 + ... + 1386067.

It is an arithmetic number, because the mean of its divisors is an integer number (8742837600).

Almost surely, 2^205414686148 is an apocalyptic number.

205414686148 is a gapful number since it is divisible by the number (28) 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 205414686148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209828102400).

205414686148 is an abundant number, since it is smaller than the sum of its proper divisors (214241518652).

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

205414686148 is a wasteful number, since it uses less digits than its factorization.

205414686148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158081 (or 158065 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The spelling of 205414686148 in words is "two hundred five billion, four hundred fourteen million, six hundred eighty-six thousand, one hundred forty-eight".