45360224000 has 576 divisors, whose sum is σ = 143172486912. Its totient is φ = 13934592000.

The previous prime is 45360223967. The next prime is 45360224059. The reversal of 45360224000 is 42206354.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107743790 + ... + 107744210.

Almost surely, 2^45360224000 is an apocalyptic number.

45360224000 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 45360224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71586243456).

45360224000 is an abundant number, since it is smaller than the sum of its proper divisors (97812262912).

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

45360224000 is a wasteful number, since it uses less digits than its factorization.

45360224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

It can be divided in two parts, 45360 and 224000, that multiplied together give a square (10160640000 = 100800²).

The spelling of 45360224000 in words is "forty-five billion, three hundred sixty million, two hundred twenty-four thousand".