45214718400 has 252 divisors, whose sum is σ = 166657209992. Its totient is φ = 12057154560.

The previous prime is 45214718387. The next prime is 45214718441. The reversal of 45214718400 is 481741254.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330654 + ... + 446946.

Almost surely, 2^45214718400 is an apocalyptic number.

45214718400 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 45214718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328604996).

45214718400 is an abundant number, since it is smaller than the sum of its proper divisors (121442491592).

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

45214718400 is a wasteful number, since it uses less digits than its factorization.

45214718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116330 (or 116303 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 45214718400 in words is "forty-five billion, two hundred fourteen million, seven hundred eighteen thousand, four hundred".