238064460816 has 480 divisors, whose sum is σ = 837213081600. Its totient is φ = 57558574080.

The previous prime is 238064460811. The next prime is 238064460827. The reversal of 238064460816 is 618064460832.

It is a super-2 number, since 2×238064460816² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (238064460811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18002655 + ... + 18015873.

It is an arithmetic number, because the mean of its divisors is an integer number (1744193920).

Almost surely, 2^238064460816 is an apocalyptic number.

238064460816 is a gapful number since it is divisible by the number (26) 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 238064460816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418606540800).

238064460816 is an abundant number, since it is smaller than the sum of its proper divisors (599148620784).

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

238064460816 is a wasteful number, since it uses less digits than its factorization.

238064460816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13307 (or 13294 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 238064460816 in words is "two hundred thirty-eight billion, sixty-four million, four hundred sixty thousand, eight hundred sixteen".