238454527481680 has 80 divisors (see below), whose sum is σ = 559320630206400. Its totient is φ = 94536439732224.

The previous prime is 238454527481663. The next prime is 238454527481689. The reversal of 238454527481680 is 86184725454832.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×238454527481680² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238454527481689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935358871 + ... + 935613769.

It is an arithmetic number, because the mean of its divisors is an integer number (6991507877580).

Almost surely, 2^{238454527481680} is an apocalyptic number.

238454527481680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238454527481680 is an abundant number, since it is smaller than the sum of its proper divisors (320866102724720).

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

238454527481680 is a wasteful number, since it uses less digits than its factorization.

238454527481680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358508 (or 358502 counting only the distinct ones).

The product of its (nonzero) digits is 412876800, while the sum is 67.

It can be divided in two parts, 2384545 and 27481680, that added together give a square (29866225 = 5465²).

The spelling of 238454527481680 in words is "two hundred thirty-eight trillion, four hundred fifty-four billion, five hundred twenty-seven million, four hundred eighty-one thousand, six hundred eighty".