45467136000000 has 3584 divisors, whose sum is σ = 206432607628800. Its totient is φ = 9732096000000.

The previous prime is 45467135999947. The next prime is 45467136000001. The reversal of 45467136000000 is 63176454.

It is a happy number.

45467136000000 is a `hidden beast` number, since 4 + 5 + 46 + 7 + 1 + 3 + 600 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45467136000001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1976831999989 + ... + 1976832000011.

It is an arithmetic number, because the mean of its divisors is an integer number (57598383825).

Almost surely, 2^{45467136000000} is an apocalyptic number.

45467136000000 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 45467136000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103216303814400).

45467136000000 is an abundant number, since it is smaller than the sum of its proper divisors (160965471628800).

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

45467136000000 is an frugal number, since it uses more digits than its factorization.

45467136000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 57 counting only the distinct ones).

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

Adding to 45467136000000 its reverse (63176454), we get a palindrome (45467199176454).

The spelling of 45467136000000 in words is "forty-five trillion, four hundred sixty-seven billion, one hundred thirty-six million", and thus it is an aban number.