93112046640 has 400 divisors, whose sum is σ = 328312126560. Its totient is φ = 24455208960.

The previous prime is 93112046639. The next prime is 93112046707. The reversal of 93112046640 is 4664021139.

93112046640 is a `hidden beast` number, since 9 + 3 + 1 + 1 + 2 + 0 + 4 + 6 + 640 = 666.

It is a super-3 number, since 3×93112046640³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 93112046595 and 93112046604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 170222847 + ... + 170223393.

Almost surely, 2^93112046640 is an apocalyptic number.

93112046640 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 93112046640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164156063280).

93112046640 is an abundant number, since it is smaller than the sum of its proper divisors (235200079920).

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

93112046640 is a wasteful number, since it uses less digits than its factorization.

93112046640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 93112046640 its reverse (4664021139), we get a palindrome (97776067779).

The spelling of 93112046640 in words is "ninety-three billion, one hundred twelve million, forty-six thousand, six hundred forty".