45111264000 has 288 divisors, whose sum is σ = 163462440960. Its totient is φ = 10935808000.

The previous prime is 45111263959. The next prime is 45111264013. The reversal of 45111264000 is 46211154.

It is a happy number.

It is a super-2 number, since 2×45111264000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1034641 + ... + 1077359.

It is an arithmetic number, because the mean of its divisors is an integer number (567577920).

Almost surely, 2^45111264000 is an apocalyptic number.

45111264000 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 45111264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81731220480).

45111264000 is an abundant number, since it is smaller than the sum of its proper divisors (118351176960).

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

45111264000 is a wasteful number, since it uses less digits than its factorization.

45111264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42764 (or 42740 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 45111264000 its reverse (46211154), we get a palindrome (45157475154).

The spelling of 45111264000 in words is "forty-five billion, one hundred eleven million, two hundred sixty-four thousand".