45936200510720 has 144 divisors (see below), whose sum is σ = 118543815169920. Its totient is φ = 16954146004992.

The previous prime is 45936200510689. The next prime is 45936200510771. The reversal of 45936200510720 is 2701500263954.

45936200510720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45936200510720² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40356437 + ... + 41479083.

It is an arithmetic number, because the mean of its divisors is an integer number (823220938680).

Almost surely, 2^{45936200510720} is an apocalyptic number.

45936200510720 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 45936200510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59271907584960).

45936200510720 is an abundant number, since it is smaller than the sum of its proper divisors (72607614659200).

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

45936200510720 is a wasteful number, since it uses less digits than its factorization.

45936200510720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125140 (or 1125126 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 45936200510720 in words is "forty-five trillion, nine hundred thirty-six billion, two hundred million, five hundred ten thousand, seven hundred twenty".