45933148800 has 1296 divisors, whose sum is σ = 210346595550. Its totient is φ = 9509068800.

The previous prime is 45933148769. The next prime is 45933148801. The reversal of 45933148800 is 884133954.

It can be written as a sum of positive squares in 3 ways, for example, as 22406497344 + 23526651456 = 149688^2 + 153384^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45933148801) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 170755066 + ... + 170755334.

Almost surely, 2^45933148800 is an apocalyptic number.

45933148800 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 45933148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105173297775).

45933148800 is an abundant number, since it is smaller than the sum of its proper divisors (164413446750).

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

45933148800 is a wasteful number, since it uses less digits than its factorization.

45933148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 45933148800 in words is "forty-five billion, nine hundred thirty-three million, one hundred forty-eight thousand, eight hundred".