45203397285312 has 560 divisors, whose sum is σ = 154160091740160. Its totient is φ = 12829338482688.

The previous prime is 45203397285307. The next prime is 45203397285337. The reversal of 45203397285312 is 21358279330254.

45203397285312 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 3 + 39 + 72 + 8 + 531 + 2 = 666.

It is a super-2 number, since 2×45203397285312² (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7099635153 + ... + 7099641519.

Almost surely, 2^{45203397285312} is an apocalyptic number.

45203397285312 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 45203397285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77080045870080).

45203397285312 is an abundant number, since it is smaller than the sum of its proper divisors (108956694454848).

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

45203397285312 is a wasteful number, since it uses less digits than its factorization.

45203397285312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670 (or 7651 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 45203397285312 in words is "forty-five trillion, two hundred three billion, three hundred ninety-seven million, two hundred eighty-five thousand, three hundred twelve".