238535226951840 has 1728 divisors, whose sum is σ = 1043799708317184. Its totient is φ = 49145652412416.

The previous prime is 238535226951799. The next prime is 238535226951851. The reversal of 238535226951840 is 48159622535832.

It is a happy number.

238535226951840 is a `hidden beast` number, since 2 + 3 + 8 + 5 + 3 + 52 + 2 + 69 + 518 + 4 + 0 = 666.

It is a super-3 number, since 3×238535226951840³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19702251067 + ... + 19702263173.

It is an arithmetic number, because the mean of its divisors is an integer number (604050757128).

Almost surely, 2^{238535226951840} is an apocalyptic number.

238535226951840 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 238535226951840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521899854158592).

238535226951840 is an abundant number, since it is smaller than the sum of its proper divisors (805264481365344).

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

238535226951840 is a wasteful number, since it uses less digits than its factorization.

238535226951840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12659 (or 12641 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 238535226951840 in words is "two hundred thirty-eight trillion, five hundred thirty-five billion, two hundred twenty-six million, nine hundred fifty-one thousand, eight hundred forty".