46686401049600 has 1848 divisors, whose sum is σ = 187989281110400. Its totient is φ = 11422463754240.

The previous prime is 46686401049599. The next prime is 46686401049611. The reversal of 46686401049600 is 694010468664.

It is a happy number.

46686401049600 is a `hidden beast` number, since 4 + 66 + 86 + 4 + 0 + 10 + 496 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 48279628317 + ... + 48279629283.

Almost surely, 2^{46686401049600} is an apocalyptic number.

46686401049600 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 46686401049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93994640555200).

46686401049600 is an abundant number, since it is smaller than the sum of its proper divisors (141302880060800).

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

46686401049600 is a wasteful number, since it uses less digits than its factorization.

46686401049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 46686401049600 in words is "forty-six trillion, six hundred eighty-six billion, four hundred one million, forty-nine thousand, six hundred".