45676224000 has 1120 divisors, whose sum is σ = 188384058720. Its totient is φ = 10948608000.

The previous prime is 45676223993. The next prime is 45676224001. The reversal of 45676224000 is 42267654.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45676224001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 513215956 + ... + 513216044.

Almost surely, 2^45676224000 is an apocalyptic number.

45676224000 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 45676224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94192029360).

45676224000 is an abundant number, since it is smaller than the sum of its proper divisors (142707834720).

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

45676224000 is an frugal number, since it uses more digits than its factorization.

45676224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 45676224000 in words is "forty-five billion, six hundred seventy-six million, two hundred twenty-four thousand".