238021920905664 has 224 divisors, whose sum is σ = 722945991605760. Its totient is φ = 67702769123328.

The previous prime is 238021920905651. The next prime is 238021920905719. The reversal of 238021920905664 is 466509029120832.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1914236007 + ... + 1914360345.

Almost surely, 2^{238021920905664} is an apocalyptic number.

238021920905664 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 238021920905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361472995802880).

238021920905664 is an abundant number, since it is smaller than the sum of its proper divisors (484924070700096).

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

238021920905664 is a wasteful number, since it uses less digits than its factorization.

238021920905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130707 (or 130697 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 238021920905664 in words is "two hundred thirty-eight trillion, twenty-one billion, nine hundred twenty million, nine hundred five thousand, six hundred sixty-four".