45806437991424 has 352 divisors, whose sum is σ = 134669283720192. Its totient is φ = 13726904320000.

The previous prime is 45806437991393. The next prime is 45806437991453. The reversal of 45806437991424 is 42419973460854.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×45806437991424² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 3027316339 + ... + 3027331469.

It is a 1-persistent number, because it is pandigital, but 2⋅45806437991424 = 91612875982848 is not.

Almost surely, 2^{45806437991424} is an apocalyptic number.

45806437991424 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 45806437991424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67334641860096).

45806437991424 is an abundant number, since it is smaller than the sum of its proper divisors (88862845728768).

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

45806437991424 is a wasteful number, since it uses less digits than its factorization.

45806437991424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16153 (or 16135 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 66.

The spelling of 45806437991424 in words is "forty-five trillion, eight hundred six billion, four hundred thirty-seven million, nine hundred ninety-one thousand, four hundred twenty-four".