45813331200 has 648 divisors, whose sum is σ = 187199560128. Its totient is φ = 9661317120.

The previous prime is 45813331199. The next prime is 45813331253. The reversal of 45813331200 is 213331854.

45813331200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45813331200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22712592 + ... + 22714608.

Almost surely, 2^45813331200 is an apocalyptic number.

45813331200 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 45813331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93599780064).

45813331200 is an abundant number, since it is smaller than the sum of its proper divisors (141386228928).

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

45813331200 is a wasteful number, since it uses less digits than its factorization.

45813331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 45813331200 in words is "forty-five billion, eight hundred thirteen million, three hundred thirty-one thousand, two hundred".