45514053541400 has 96 divisors (see below), whose sum is σ = 106899128598240. Its totient is φ = 18020876789760.

The previous prime is 45514053541373. The next prime is 45514053541403. The reversal of 45514053541400 is 414535041554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45514053541403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5502512 + ... + 11013888.

It is an arithmetic number, because the mean of its divisors is an integer number (1113532589565).

Almost surely, 2^{45514053541400} is an apocalyptic number.

45514053541400 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 45514053541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53449564299120).

45514053541400 is an abundant number, since it is smaller than the sum of its proper divisors (61385075056840).

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

45514053541400 is a wasteful number, since it uses less digits than its factorization.

45514053541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511813 (or 5511804 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 41.

Adding to 45514053541400 its reverse (414535041554), we get a palindrome (45928588582954).

The spelling of 45514053541400 in words is "forty-five trillion, five hundred fourteen billion, fifty-three million, five hundred forty-one thousand, four hundred".