45303068241900 has 648 divisors, whose sum is σ = 167270044032000. Its totient is φ = 10224338906880.

The previous prime is 45303068241833. The next prime is 45303068241929. The reversal of 45303068241900 is 914286030354.

45303068241900 is a `hidden beast` number, since 4 + 530 + 3 + 0 + 6 + 8 + 24 + 1 + 90 + 0 = 666.

It is a super-2 number, since 2×45303068241900² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10977237637 + ... + 10977241763.

It is an arithmetic number, because the mean of its divisors is an integer number (258132784000).

Almost surely, 2^{45303068241900} 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 45303068241900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83635022016000).

45303068241900 is an abundant number, since it is smaller than the sum of its proper divisors (121966975790100).

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

45303068241900 is a wasteful number, since it uses less digits than its factorization.

45303068241900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243 (or 7226 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 45303068241900 in words is "forty-five trillion, three hundred three billion, sixty-eight million, two hundred forty-one thousand, nine hundred".