45212921820 has 480 divisors, whose sum is σ = 162402831360. Its totient is φ = 10430415360.

The previous prime is 45212921777. The next prime is 45212921821. The reversal of 45212921820 is 2812921254.

45212921820 is a `hidden beast` number, since 452 + 1 + 29 + 2 + 182 + 0 = 666.

It is a super-2 number, since 2×45212921820² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45212921821) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30988251 + ... + 30989709.

It is an arithmetic number, because the mean of its divisors is an integer number (338339232).

Almost surely, 2^45212921820 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 45212921820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81201415680).

45212921820 is an abundant number, since it is smaller than the sum of its proper divisors (117189909540).

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

45212921820 is a wasteful number, since it uses less digits than its factorization.

45212921820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 45212921820 in words is "forty-five billion, two hundred twelve million, nine hundred twenty-one thousand, eight hundred twenty".