45356016106400 has 288 divisors, whose sum is σ = 114523913469168. Its totient is φ = 17532223488000.

The previous prime is 45356016106309. The next prime is 45356016106409. The reversal of 45356016106400 is 460161065354.

It can be written as a sum of positive squares in 24 ways, for example, as 9519174819856 + 35836841286544 = 3085316^2 + 5986388^2 .

It is a super-2 number, since 2×45356016106400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45356016106409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826475762 + ... + 826530638.

Almost surely, 2^{45356016106400} is an apocalyptic number.

45356016106400 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 45356016106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57261956734584).

45356016106400 is an abundant number, since it is smaller than the sum of its proper divisors (69167897362768).

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

45356016106400 is a wasteful number, since it uses less digits than its factorization.

45356016106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55244 (or 55231 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 45356016106400 in words is "forty-five trillion, three hundred fifty-six billion, sixteen million, one hundred six thousand, four hundred".