46100793600 has 756 divisors, whose sum is σ = 175981660932. Its totient is φ = 11943936000.

The previous prime is 46100793589. The next prime is 46100793617. The reversal of 46100793600 is 639700164.

46100793600 is a `hidden beast` number, since 4 + 610 + 0 + 7 + 9 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3816274176 + 42284519424 = 61776^2 + 205632^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 191289480 + ... + 191289720.

Almost surely, 2^46100793600 is an apocalyptic number.

46100793600 is a gapful number since it is divisible by the number (40) 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 46100793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87990830466).

46100793600 is an abundant number, since it is smaller than the sum of its proper divisors (129880867332).

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

46100793600 is an equidigital number, since it uses as much as digits as its factorization.

46100793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 46100793600 in words is "forty-six billion, one hundred million, seven hundred ninety-three thousand, six hundred".