38721132605466 has 192 divisors, whose sum is σ = 90005942426400. Its totient is φ = 12008250777600.

The previous prime is 38721132605447. The next prime is 38721132605473. The reversal of 38721132605466 is 66450623112783.

38721132605466 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 1 + 1 + 32 + 60 + 546 + 6 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3713024540241 + 35008108065225 = 1926921^2 + 5916765^2 .

It is a super-2 number, since 2×38721132605466² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 739477126 + ... + 739529486.

Almost surely, 2^{38721132605466} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38721132605466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45002971213200).

38721132605466 is an abundant number, since it is smaller than the sum of its proper divisors (51284809820934).

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

38721132605466 is a wasteful number, since it uses less digits than its factorization.

38721132605466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52865 (or 52862 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 38721132605466 in words is "thirty-eight trillion, seven hundred twenty-one billion, one hundred thirty-two million, six hundred five thousand, four hundred sixty-six".