45242891276800 has 960 divisors, whose sum is σ = 135518366269440. Its totient is φ = 14642159616000.

The previous prime is 45242891276797. The next prime is 45242891276801. The reversal of 45242891276800 is 867219824254.

It is a super-2 number, since 2×45242891276800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (45242891276801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23429771835 + ... + 23429773765.

It is an arithmetic number, because the mean of its divisors is an integer number (141164964864).

Almost surely, 2^{45242891276800} is an apocalyptic number.

45242891276800 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 45242891276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67759183134720).

45242891276800 is an abundant number, since it is smaller than the sum of its proper divisors (90275474992640).

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

45242891276800 is a wasteful number, since it uses less digits than its factorization.

45242891276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 45242891276800 in words is "forty-five trillion, two hundred forty-two billion, eight hundred ninety-one million, two hundred seventy-six thousand, eight hundred".