45950284800 has 528 divisors, whose sum is σ = 192868667520. Its totient is φ = 10501816320.

The previous prime is 45950284799. The next prime is 45950284813. The reversal of 45950284800 is 848205954.

It is a super-2 number, since 2×45950284800² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4833652 + ... + 4843148.

Almost surely, 2^45950284800 is an apocalyptic number.

45950284800 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 45950284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96434333760).

45950284800 is an abundant number, since it is smaller than the sum of its proper divisors (146918382720).

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

45950284800 is a wasteful number, since it uses less digits than its factorization.

45950284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9543 (or 9514 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 45950284800 in words is "forty-five billion, nine hundred fifty million, two hundred eighty-four thousand, eight hundred".