45512064000 has 704 divisors, whose sum is σ = 181329482880. Its totient is φ = 11191910400.

The previous prime is 45512063983. The next prime is 45512064079. The reversal of 45512064000 is 46021554.

45512064000 is a `hidden beast` number, since 4 + 5 + 5 + 12 + 0 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44927494 + ... + 44928506.

Almost surely, 2^45512064000 is an apocalyptic number.

45512064000 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 45512064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90664741440).

45512064000 is an abundant number, since it is smaller than the sum of its proper divisors (135817418880).

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

45512064000 is a wasteful number, since it uses less digits than its factorization.

45512064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 45512064000 its reverse (46021554), we get a palindrome (45558085554).

The spelling of 45512064000 in words is "forty-five billion, five hundred twelve million, sixty-four thousand".