46111867401600 has 8064 divisors, whose sum is σ = 242864669952000. Its totient is φ = 8559323136000.

The previous prime is 46111867401571. The next prime is 46111867401601. The reversal of 46111867401600 is 610476811164.

46111867401600 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 186 + 7 + 401 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

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 (46111867401601) by changing a digit.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 1487479593585 + ... + 1487479593615.

Almost surely, 2^{46111867401600} is an apocalyptic number.

46111867401600 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 46111867401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121432334976000).

46111867401600 is an abundant number, since it is smaller than the sum of its proper divisors (196752802550400).

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

46111867401600 is a wasteful number, since it uses less digits than its factorization.

46111867401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 46111867401600 in words is "forty-six trillion, one hundred eleven billion, eight hundred sixty-seven million, four hundred one thousand, six hundred".