238622146560 has 544 divisors, whose sum is σ = 969883457280. Its totient is φ = 54528049152.

The previous prime is 238622146523. The next prime is 238622146577. The reversal of 238622146560 is 65641226832.

238622146560 is a `hidden beast` number, since 2 + 3 + 8 + 62 + 21 + 4 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 61929594 + ... + 61933446.

Almost surely, 2^238622146560 is an apocalyptic number.

238622146560 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 238622146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484941728640).

238622146560 is an abundant number, since it is smaller than the sum of its proper divisors (731261310720).

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

238622146560 is an frugal number, since it uses more digits than its factorization.

238622146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 238622146560 in words is "two hundred thirty-eight billion, six hundred twenty-two million, one hundred forty-six thousand, five hundred sixty".