45154023200 has 432 divisors, whose sum is σ = 136173659328. Its totient is φ = 14386944000.

The previous prime is 45154023169. The next prime is 45154023247. The reversal of 45154023200 is 232045154.

It is a happy number.

It is a super-2 number, since 2×45154023200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 45154023200.

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, 344687135 + ... + 344687265.

It is an arithmetic number, because the mean of its divisors is an integer number (315216804).

Almost surely, 2^45154023200 is an apocalyptic number.

45154023200 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 45154023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68086829664).

45154023200 is an abundant number, since it is smaller than the sum of its proper divisors (91019636128).

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

45154023200 is a wasteful number, since it uses less digits than its factorization.

45154023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 45154023200 its reverse (232045154), we get a palindrome (45386068354).

The spelling of 45154023200 in words is "forty-five billion, one hundred fifty-four million, twenty-three thousand, two hundred".