45753202000 has 320 divisors, whose sum is σ = 124304544000. Its totient is φ = 16147200000.

The previous prime is 45753201929. The next prime is 45753202031. The reversal of 45753202000 is 20235754.

It is a super-3 number, since 3×45753202000³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45753202000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131097826 + ... + 131098174.

It is an arithmetic number, because the mean of its divisors is an integer number (388451700).

Almost surely, 2^45753202000 is an apocalyptic number.

45753202000 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 45753202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62152272000).

45753202000 is an abundant number, since it is smaller than the sum of its proper divisors (78551342000).

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

45753202000 is a wasteful number, since it uses less digits than its factorization.

45753202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

Adding to 45753202000 its reverse (20235754), we get a palindrome (45773437754).

The spelling of 45753202000 in words is "forty-five billion, seven hundred fifty-three million, two hundred two thousand".