45473214412800 has 2016 divisors, whose sum is σ = 174546393315840. Its totient is φ = 11738500300800.

The previous prime is 45473214412781. The next prime is 45473214412933. The reversal of 45473214412800 is 821441237454.

45473214412800 is a `hidden beast` number, since 4 + 5 + 4 + 7 + 321 + 4 + 41 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 251233228710 + ... + 251233228890.

It is an arithmetic number, because the mean of its divisors is an integer number (86580552240).

Almost surely, 2^{45473214412800} is an apocalyptic number.

45473214412800 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 45473214412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87273196657920).

45473214412800 is an abundant number, since it is smaller than the sum of its proper divisors (129073178903040).

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

45473214412800 is a wasteful number, since it uses less digits than its factorization.

45473214412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 45473214412800 in words is "forty-five trillion, four hundred seventy-three billion, two hundred fourteen million, four hundred twelve thousand, eight hundred".