45214821504 has 192 divisors, whose sum is σ = 135503409600. Its totient is φ = 14453913600.

The previous prime is 45214821473. The next prime is 45214821551. The reversal of 45214821504 is 40512841254.

45214821504 is a `hidden beast` number, since 4 + 5 + 2 + 148 + 2 + 1 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5040127 + ... + 5049089.

It is an arithmetic number, because the mean of its divisors is an integer number (705746925).

Almost surely, 2^45214821504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45214821504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67751704800).

45214821504 is an abundant number, since it is smaller than the sum of its proper divisors (90288588096).

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

45214821504 is a wasteful number, since it uses less digits than its factorization.

45214821504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9163 (or 9148 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 45214821504 in words is "forty-five billion, two hundred fourteen million, eight hundred twenty-one thousand, five hundred four".