45361170001400 has 192 divisors, whose sum is σ = 115668461700000. Its totient is φ = 16406696499200.

The previous prime is 45361170001391. The next prime is 45361170001447. The reversal of 45361170001400 is 410007116354.

45361170001400 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 2×45361170001400² (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 47 ways as a sum of consecutive naturals, for example, 1832836226 + ... + 1832860974.

Almost surely, 2^{45361170001400} is an apocalyptic number.

45361170001400 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 45361170001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57834230850000).

45361170001400 is an abundant number, since it is smaller than the sum of its proper divisors (70307291698600).

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

45361170001400 is a wasteful number, since it uses less digits than its factorization.

45361170001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29202 (or 29193 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 45361170001400 its reverse (410007116354), we get a palindrome (45771177117754).

The spelling of 45361170001400 in words is "forty-five trillion, three hundred sixty-one billion, one hundred seventy million, one thousand, four hundred".