46197663120 has 640 divisors, whose sum is σ = 187182305280. Its totient is φ = 10383386112.

The previous prime is 46197663091. The next prime is 46197663121. The reversal of 46197663120 is 2136679164.

46197663120 is a `hidden beast` number, since 4 + 6 + 1 + 9 + 7 + 6 + 631 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (46197663121) 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, 82055959 + ... + 82056521.

It is an arithmetic number, because the mean of its divisors is an integer number (292472352).

Almost surely, 2^46197663120 is an apocalyptic number.

46197663120 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 46197663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93591152640).

46197663120 is an abundant number, since it is smaller than the sum of its proper divisors (140984642160).

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

46197663120 is an equidigital number, since it uses as much as digits as its factorization.

46197663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 46197663120 in words is "forty-six billion, one hundred ninety-seven million, six hundred sixty-three thousand, one hundred twenty".