45303355203120 has 800 divisors, whose sum is σ = 180398647080960. Its totient is φ = 10321979351040.

The previous prime is 45303355203083. The next prime is 45303355203137. The reversal of 45303355203120 is 2130255330354.

45303355203120 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 3 + 3 + 5 + 520 + 3 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30425355336 + ... + 30425356824.

Almost surely, 2^{45303355203120} is an apocalyptic number.

45303355203120 is a gapful number since it is divisible by the number (40) 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 45303355203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90199323540480).

45303355203120 is an abundant number, since it is smaller than the sum of its proper divisors (135095291877840).

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

45303355203120 is a wasteful number, since it uses less digits than its factorization.

45303355203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 45303355203120 in words is "forty-five trillion, three hundred three billion, three hundred fifty-five million, two hundred three thousand, one hundred twenty".