46197043200 has 1872 divisors, whose sum is σ = 222312913920. Its totient is φ = 9289728000.

The previous prime is 46197043147. The next prime is 46197043201. The reversal of 46197043200 is 234079164.

46197043200 is a `hidden beast` number, since 4 + 619 + 7 + 0 + 4 + 32 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46197043201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1490227185 + ... + 1490227215.

Almost surely, 2^46197043200 is an apocalyptic number.

46197043200 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 46197043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111156456960).

46197043200 is an abundant number, since it is smaller than the sum of its proper divisors (176115870720).

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

46197043200 is a wasteful number, since it uses less digits than its factorization.

46197043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 46197043200 in words is "forty-six billion, one hundred ninety-seven million, forty-three thousand, two hundred".