46860681900 has 576 divisors, whose sum is σ = 155486048256. Its totient is φ = 10838016000.

The previous prime is 46860681859. The next prime is 46860681911. The reversal of 46860681900 is 918606864.

It is a super-2 number, since 2×46860681900² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46860681900.

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 191 ways as a sum of consecutive naturals, for example, 414696244 + ... + 414696356.

It is an arithmetic number, because the mean of its divisors is an integer number (269941056).

Almost surely, 2^46860681900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46860681900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77743024128).

46860681900 is an abundant number, since it is smaller than the sum of its proper divisors (108625366356).

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

46860681900 is a wasteful number, since it uses less digits than its factorization.

46860681900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 46860681900 in words is "forty-six billion, eight hundred sixty million, six hundred eighty-one thousand, nine hundred".