45933300504 has 480 divisors, whose sum is σ = 162294197520. Its totient is φ = 12098274048.

The previous prime is 45933300499. The next prime is 45933300509. The reversal of 45933300504 is 40500333954.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45933300499) and next prime (45933300509).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45933300509) 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 119 ways as a sum of consecutive naturals, for example, 60677694 + ... + 60678450.

Almost surely, 2^45933300504 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 45933300504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81147098760).

45933300504 is an abundant number, since it is smaller than the sum of its proper divisors (116360897016).

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

45933300504 is an equidigital number, since it uses as much as digits as its factorization.

45933300504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 45933300504 in words is "forty-five billion, nine hundred thirty-three million, three hundred thousand, five hundred four".