45966601565984 has 192 divisors, whose sum is σ = 101192583260160. Its totient is φ = 20377903104000.

The previous prime is 45966601565917. The next prime is 45966601566037. The reversal of 45966601565984 is 48956510666954.

It is a happy number.

It is a super-2 number, since 2×45966601565984² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1283642672 + ... + 1283678480.

It is an arithmetic number, because the mean of its divisors is an integer number (527044704480).

Almost surely, 2^{45966601565984} is an apocalyptic number.

45966601565984 is a gapful number since it is divisible by the number (44) 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 45966601565984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50596291630080).

45966601565984 is an abundant number, since it is smaller than the sum of its proper divisors (55225981694176).

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

45966601565984 is a wasteful number, since it uses less digits than its factorization.

45966601565984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36395 (or 36387 counting only the distinct ones).

The product of its (nonzero) digits is 1679616000, while the sum is 74.

The spelling of 45966601565984 in words is "forty-five trillion, nine hundred sixty-six billion, six hundred one million, five hundred sixty-five thousand, nine hundred eighty-four".