45320950628352 has 1440 divisors, whose sum is σ = 165362351132160. Its totient is φ = 12150327214080.

The previous prime is 45320950628347. The next prime is 45320950628363. The reversal of 45320950628352 is 25382605902354.

It is a happy number.

45320950628352 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 0 + 9 + 5 + 0 + 628 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136921300827 + ... + 136921301157.

It is an arithmetic number, because the mean of its divisors is an integer number (114834966064).

Almost surely, 2^{45320950628352} is an apocalyptic number.

45320950628352 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 45320950628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82681175566080).

45320950628352 is an abundant number, since it is smaller than the sum of its proper divisors (120041400503808).

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

45320950628352 is an frugal number, since it uses more digits than its factorization.

45320950628352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 45320950628352 in words is "forty-five trillion, three hundred twenty billion, nine hundred fifty million, six hundred twenty-eight thousand, three hundred fifty-two".