45014214515400 has 240 divisors, whose sum is σ = 168367270094100. Its totient is φ = 11080421982720.

The previous prime is 45014214515363. The next prime is 45014214515407. The reversal of 45014214515400 is 451541241054.

45014214515400 is a `hidden beast` number, since 4 + 50 + 1 + 4 + 2 + 14 + 51 + 540 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16341466681764 + 28672747833636 = 4042458^2 + 5354694^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45014214515407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 106660755 + ... + 107081954.

Almost surely, 2^{45014214515400} is an apocalyptic number.

45014214515400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45014214515400 is an abundant number, since it is smaller than the sum of its proper divisors (123353055578700).

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

45014214515400 is a wasteful number, since it uses less digits than its factorization.

45014214515400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213742750 (or 213742732 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 45014214515400 its reverse (451541241054), we get a palindrome (45465755756454).

The spelling of 45014214515400 in words is "forty-five trillion, fourteen billion, two hundred fourteen million, five hundred fifteen thousand, four hundred".