238061617920 has 864 divisors, whose sum is σ = 995100567552. Its totient is φ = 53361524736.

The previous prime is 238061617909. The next prime is 238061617931. The reversal of 238061617920 is 29716160832.

238061617920 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 6 + 1 + 617 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (238061617909) and next prime (238061617931).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115394809 + ... + 115396871.

It is an arithmetic number, because the mean of its divisors is an integer number (1151736768).

Almost surely, 2^238061617920 is an apocalyptic number.

238061617920 is a gapful number since it is divisible by the number (20) 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 238061617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497550283776).

238061617920 is an abundant number, since it is smaller than the sum of its proper divisors (757038949632).

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

238061617920 is an equidigital number, since it uses as much as digits as its factorization.

238061617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 238061617920 in words is "two hundred thirty-eight billion, sixty-one million, six hundred seventeen thousand, nine hundred twenty".