45212180832 has 720 divisors, whose sum is σ = 168625028880. Its totient is φ = 11778213888.

The previous prime is 45212180831. The next prime is 45212180863. The reversal of 45212180832 is 23808121254.

It is a happy number.

45212180832 is a `hidden beast` number, since 4 + 521 + 21 + 80 + 8 + 32 = 666.

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 (45212180831) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 229503358 + ... + 229503554.

It is an arithmetic number, because the mean of its divisors is an integer number (234201429).

Almost surely, 2^45212180832 is an apocalyptic number.

45212180832 is a gapful number since it is divisible by the number (42) 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 45212180832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84312514440).

45212180832 is an abundant number, since it is smaller than the sum of its proper divisors (123412848048).

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

45212180832 is a wasteful number, since it uses less digits than its factorization.

45212180832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 45212180832 in words is "forty-five billion, two hundred twelve million, one hundred eighty thousand, eight hundred thirty-two".