993466070100 has 432 divisors, whose sum is σ = 3754159718400. Its totient is φ = 214664981760.

The previous prime is 993466070027. The next prime is 993466070143. The reversal of 993466070100 is 1070664399.

993466070100 is a `hidden beast` number, since 9 + 9 + 34 + 6 + 607 + 0 + 1 + 0 + 0 = 666.

993466070100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×993466070100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57327637 + ... + 57344963.

Almost surely, 2^993466070100 is an apocalyptic number.

993466070100 is a gapful number since it is divisible by the number (90) 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 993466070100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877079859200).

993466070100 is an abundant number, since it is smaller than the sum of its proper divisors (2760693648300).

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

993466070100 is a wasteful number, since it uses less digits than its factorization.

993466070100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17852 (or 17842 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 993466070100 in words is "nine hundred ninety-three billion, four hundred sixty-six million, seventy thousand, one hundred".