45703502208 has 768 divisors, whose sum is σ = 171073943040. Its totient is φ = 11824496640.

The previous prime is 45703502203. The next prime is 45703502281. The reversal of 45703502208 is 80220530754.

It is a super-2 number, since 2×45703502208² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (45703502203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189640968 + ... + 189641208.

It is an arithmetic number, because the mean of its divisors is an integer number (222752530).

Almost surely, 2^45703502208 is an apocalyptic number.

45703502208 is a gapful number since it is divisible by the number (48) 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 45703502208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85536971520).

45703502208 is an abundant number, since it is smaller than the sum of its proper divisors (125370440832).

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

45703502208 is a wasteful number, since it uses less digits than its factorization.

45703502208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 45703502208 in words is "forty-five billion, seven hundred three million, five hundred two thousand, two hundred eight".