238419910485904 has 135 divisors (see below), whose sum is σ = 555281599736241. Its totient is φ = 98878275135360.

The previous prime is 238419910485901. The next prime is 238419910485983. The reversal of 238419910485904 is 409584019914832.

The square root of 238419910485904 is 15440852.

It is a perfect power (a square), and thus also a powerful number.

238419910485904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 233088983631504 + 5330926854400 = 15267252^2 + 2308880^2 .

It is a super-2 number, since 2×238419910485904² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 238419910485904.

It is not an unprimeable number, because it can be changed into a prime (238419910485901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13402650642 + ... + 13402668430.

Almost surely, 2^{238419910485904} is an apocalyptic number.

238419910485904 is the 15440852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238419910485904

238419910485904 is an abundant number, since it is smaller than the sum of its proper divisors (316861689250337).

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

238419910485904 is an frugal number, since it uses more digits than its factorization.

238419910485904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35662 (or 17829 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 67.

The spelling of 238419910485904 in words is "two hundred thirty-eight trillion, four hundred nineteen billion, nine hundred ten million, four hundred eighty-five thousand, nine hundred four".