45523927142400 has 1872 divisors, whose sum is σ = 189952490387520. Its totient is φ = 9552317644800.

The previous prime is 45523927142389. The next prime is 45523927142401. The reversal of 45523927142400 is 424172932554.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45523927142400.

It is not an unprimeable number, because it can be changed into a prime (45523927142401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10491799431 + ... + 10491803769.

Almost surely, 2^{45523927142400} is an apocalyptic number.

45523927142400 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 45523927142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94976245193760).

45523927142400 is an abundant number, since it is smaller than the sum of its proper divisors (144428563245120).

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

45523927142400 is a wasteful number, since it uses less digits than its factorization.

45523927142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 45523927142400 in words is "forty-five trillion, five hundred twenty-three billion, nine hundred twenty-seven million, one hundred forty-two thousand, four hundred".