45306351420 has 192 divisors, whose sum is σ = 143543715840. Its totient is φ = 10576384000.

The previous prime is 45306351361. The next prime is 45306351427. The reversal of 45306351420 is 2415360354.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45306351427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7672189 + ... + 7678091.

It is an arithmetic number, because the mean of its divisors is an integer number (747623520).

Almost surely, 2^45306351420 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 45306351420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71771857920).

45306351420 is an abundant number, since it is smaller than the sum of its proper divisors (98237364420).

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

45306351420 is a wasteful number, since it uses less digits than its factorization.

45306351420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 45306351420 in words is "forty-five billion, three hundred six million, three hundred fifty-one thousand, four hundred twenty".