46466665817760 has 480 divisors, whose sum is σ = 165304779393600. Its totient is φ = 12291808112640.

The previous prime is 46466665817651. The next prime is 46466665817827. The reversal of 46466665817760 is 6771856666464.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2322046155 + ... + 2322066165.

It is an arithmetic number, because the mean of its divisors is an integer number (344384957070).

Almost surely, 2^{46466665817760} is an apocalyptic number.

46466665817760 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 46466665817760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82652389696800).

46466665817760 is an abundant number, since it is smaller than the sum of its proper divisors (118838113575840).

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

46466665817760 is a wasteful number, since it uses less digits than its factorization.

46466665817760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21466 (or 21449 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 46466665817760 in words is "forty-six trillion, four hundred sixty-six billion, six hundred sixty-five million, eight hundred seventeen thousand, seven hundred sixty".