238709793193632 has 480 divisors, whose sum is σ = 744174126710784. Its totient is φ = 74955215462400.

The previous prime is 238709793193567. The next prime is 238709793193681. The reversal of 238709793193632 is 236391397907832.

238709793193632 is a `hidden beast` number, since 2 + 3 + 87 + 0 + 97 + 93 + 19 + 363 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 540628632 + ... + 541069992.

Almost surely, 2^{238709793193632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238709793193632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372087063355392).

238709793193632 is an abundant number, since it is smaller than the sum of its proper divisors (505464333517152).

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

238709793193632 is a wasteful number, since it uses less digits than its factorization.

238709793193632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441594 (or 441577 counting only the distinct ones).

The product of its (nonzero) digits is 555532992, while the sum is 72.

The spelling of 238709793193632 in words is "two hundred thirty-eight trillion, seven hundred nine billion, seven hundred ninety-three million, one hundred ninety-three thousand, six hundred thirty-two".