45954442800 has 300 divisors, whose sum is σ = 188488710256. Its totient is φ = 10503820800.

The previous prime is 45954442657. The next prime is 45954442813. The reversal of 45954442800 is 824445954.

It is a happy number.

45954442800 is a `hidden beast` number, since 45 + 95 + 4 + 442 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×45954442800² (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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 125490 + ... + 328110.

Almost surely, 2^45954442800 is an apocalyptic number.

45954442800 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 45954442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94244355128).

45954442800 is an abundant number, since it is smaller than the sum of its proper divisors (142534267456).

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

45954442800 is a wasteful number, since it uses less digits than its factorization.

45954442800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202658 (or 202638 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 45954442800 in words is "forty-five billion, nine hundred fifty-four million, four hundred forty-two thousand, eight hundred".