46193937120 has 240 divisors, whose sum is σ = 163223188128. Its totient is φ = 12303498240.

The previous prime is 46193937103. The next prime is 46193937121. The reversal of 46193937120 is 2173939164.

46193937120 is a `hidden beast` number, since 4 + 619 + 3 + 9 + 3 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46193937121) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 14474725 + ... + 14477915.

Almost surely, 2^46193937120 is an apocalyptic number.

46193937120 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 46193937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81611594064).

46193937120 is an abundant number, since it is smaller than the sum of its proper divisors (117029251008).

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

46193937120 is a wasteful number, since it uses less digits than its factorization.

46193937120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4318 counting only the distinct ones).

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

The spelling of 46193937120 in words is "forty-six billion, one hundred ninety-three million, nine hundred thirty-seven thousand, one hundred twenty".