45966459000 has 1024 divisors, whose sum is σ = 189775872000. Its totient is φ = 9172800000.

The previous prime is 45966458981. The next prime is 45966459013. The reversal of 45966459000 is 95466954.

It is a super-2 number, since 2×45966459000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 350888935 + ... + 350889065.

It is an arithmetic number, because the mean of its divisors is an integer number (185328000).

Almost surely, 2^45966459000 is an apocalyptic number.

45966459000 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 45966459000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94887936000).

45966459000 is an abundant number, since it is smaller than the sum of its proper divisors (143809413000).

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

45966459000 is a wasteful number, since it uses less digits than its factorization.

45966459000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 45966459000 in words is "forty-five billion, nine hundred sixty-six million, four hundred fifty-nine thousand".