45447679200 has 576 divisors, whose sum is σ = 186720049152. Its totient is φ = 9326745600.

The previous prime is 45447679183. The next prime is 45447679247. The reversal of 45447679200 is 297674454.

It is a super-2 number, since 2×45447679200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45447679200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15336919 + ... + 15339881.

It is an arithmetic number, because the mean of its divisors is an integer number (324166752).

Almost surely, 2^45447679200 is an apocalyptic number.

45447679200 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 45447679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93360024576).

45447679200 is an abundant number, since it is smaller than the sum of its proper divisors (141272369952).

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

45447679200 is a wasteful number, since it uses less digits than its factorization.

45447679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 45447679200 in words is "forty-five billion, four hundred forty-seven million, six hundred seventy-nine thousand, two hundred".