45024731136000 has 3672 divisors, whose sum is σ = 209572550826912. Its totient is φ = 9264955392000.

The previous prime is 45024731135981. The next prime is 45024731136053. The reversal of 45024731136000 is 63113742054.

45024731136000 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 4 + 7 + 31 + 13 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 437133311949 + ... + 437133312051.

Almost surely, 2^{45024731136000} is an apocalyptic number.

45024731136000 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 45024731136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104786275413456).

45024731136000 is an abundant number, since it is smaller than the sum of its proper divisors (164547819690912).

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

45024731136000 is a wasteful number, since it uses less digits than its factorization.

45024731136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 45024731136000 its reverse (63113742054), we get a palindrome (45087844878054).

The spelling of 45024731136000 in words is "forty-five trillion, twenty-four billion, seven hundred thirty-one million, one hundred thirty-six thousand".