93485862681000 has 512 divisors, whose sum is σ = 309602217600000. Its totient is φ = 23404796313600.

The previous prime is 93485862680999. The next prime is 93485862681007. The reversal of 93485862681000 is 18626858439.

It is a super-2 number, since 2×93485862681000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (93485862681007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62616116254 + ... + 62616117746.

It is an arithmetic number, because the mean of its divisors is an integer number (604691831250).

Almost surely, 2^{93485862681000} 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 93485862681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154801108800000).

93485862681000 is an abundant number, since it is smaller than the sum of its proper divisors (216116354919000).

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

93485862681000 is a wasteful number, since it uses less digits than its factorization.

93485862681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 93485862681000 in words is "ninety-three trillion, four hundred eighty-five billion, eight hundred sixty-two million, six hundred eighty-one thousand".