234638478864 has 120 divisors (see below), whose sum is σ = 681160465440. Its totient is φ = 78192407808.

The previous prime is 234638478863. The next prime is 234638478869. The reversal of 234638478864 is 468874836432.

It is a happy number.

234638478864 is a `hidden beast` number, since 23 + 4 + 63 + 8 + 478 + 86 + 4 = 666.

It is a super-2 number, since 2×234638478864² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234638478863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25535679 + ... + 25544865.

It is an arithmetic number, because the mean of its divisors is an integer number (5676337212).

Almost surely, 2^234638478864 is an apocalyptic number.

234638478864 is a gapful number since it is divisible by the number (24) 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 234638478864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340580232720).

234638478864 is an abundant number, since it is smaller than the sum of its proper divisors (446521986576).

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

234638478864 is an equidigital number, since it uses as much as digits as its factorization.

234638478864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15779 (or 15761 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 234638478864 in words is "two hundred thirty-four billion, six hundred thirty-eight million, four hundred seventy-eight thousand, eight hundred sixty-four".