238997240064 has 576 divisors, whose sum is σ = 793435668480. Its totient is φ = 70346465280.

The previous prime is 238997240003. The next prime is 238997240107. The reversal of 238997240064 is 460042799832.

238997240064 is a `hidden beast` number, since 23 + 8 + 99 + 72 + 400 + 64 = 666.

238997240064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 511771159 + ... + 511771625.

It is an arithmetic number, because the mean of its divisors is an integer number (1377492480).

Almost surely, 2^238997240064 is an apocalyptic number.

238997240064 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 238997240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396717834240).

238997240064 is an abundant number, since it is smaller than the sum of its proper divisors (554438428416).

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

238997240064 is a wasteful number, since it uses less digits than its factorization.

238997240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 238997240064 in words is "two hundred thirty-eight billion, nine hundred ninety-seven million, two hundred forty thousand, sixty-four".