45001691388900 has 405 divisors, whose sum is σ = 153998827722201. Its totient is φ = 11365950352320.

The previous prime is 45001691388839. The next prime is 45001691389007. The reversal of 45001691388900 is 988319610054.

The square root of 45001691388900 is 6708330.

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

45001691388900 is a `hidden beast` number, since 4 + 500 + 16 + 9 + 1 + 38 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16200608900004 + 28801082488896 = 4024998^2 + 5366664^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×45001691388900² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11471242339 + ... + 11471246261.

Almost surely, 2^{45001691388900} is an apocalyptic number.

45001691388900 is the 6708330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45001691388900

45001691388900 is an abundant number, since it is smaller than the sum of its proper divisors (108997136333301).

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

45001691388900 is an equidigital number, since it uses as much as digits as its factorization.

45001691388900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7910 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 45001691388900 in words is "forty-five trillion, one billion, six hundred ninety-one million, three hundred eighty-eight thousand, nine hundred".