45151322454000 has 1600 divisors, whose sum is σ = 190358568271872. Its totient is φ = 10102143744000.

The previous prime is 45151322453999. The next prime is 45151322454013. The reversal of 45151322454000 is 45422315154.

45151322454000 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 1 + 3 + 2 + 245 + 400 + 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 an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15425800537 + ... + 15425803463.

Almost surely, 2^{45151322454000} is an apocalyptic number.

45151322454000 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 45151322454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95179284135936).

45151322454000 is an abundant number, since it is smaller than the sum of its proper divisors (145207245817872).

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

45151322454000 is a wasteful number, since it uses less digits than its factorization.

45151322454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 45151322454000 its reverse (45422315154), we get a palindrome (45196744769154).

The spelling of 45151322454000 in words is "forty-five trillion, one hundred fifty-one billion, three hundred twenty-two million, four hundred fifty-four thousand".