545000224002000 has 1280 divisors, whose sum is σ = 2051514004700160. Its totient is φ = 123243724800000.

The previous prime is 545000224001951. The next prime is 545000224002001. The reversal of 545000224002000 is 200422000545.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545000224002001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 136216000000 + ... + 136216004000.

It is an arithmetic number, because the mean of its divisors is an integer number (1602745316172).

Almost surely, 2^{545000224002000} is an apocalyptic number.

545000224002000 is a gapful number since it is divisible by the number (50) 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 545000224002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025757002350080).

545000224002000 is an abundant number, since it is smaller than the sum of its proper divisors (1506513780698160).

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

545000224002000 is a wasteful number, since it uses less digits than its factorization.

545000224002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6489 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 545000224002000 its reverse (200422000545), we get a palindrome (545200646002545).

The spelling of 545000224002000 in words is "five hundred forty-five trillion, two hundred twenty-four million, two thousand".