45072290688100 has 243 divisors, whose sum is σ = 108519857161569. Its totient is φ = 16241516928000.

The previous prime is 45072290688067. The next prime is 45072290688127. The reversal of 45072290688100 is 188609227054.

The square root of 45072290688100 is 6713590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 35025825100644 + 10046465587456 = 5918262^2 + 3169616^2 .

It is a super-2 number, since 2×45072290688100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37528967500 + ... + 37528968700.

Almost surely, 2^{45072290688100} is an apocalyptic number.

45072290688100 is the 6713590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45072290688100

45072290688100 is an abundant number, since it is smaller than the sum of its proper divisors (63447566473469).

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

45072290688100 is a wasteful number, since it uses less digits than its factorization.

45072290688100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 45072290688100 in words is "forty-five trillion, seventy-two billion, two hundred ninety million, six hundred eighty-eight thousand, one hundred".