45114052662000 has 480 divisors, whose sum is σ = 180101671326720. Its totient is φ = 10310434444800.

The previous prime is 45114052661989. The next prime is 45114052662017. The reversal of 45114052662000 is 26625041154.

45114052662000 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 4 + 0 + 5 + 26 + 620 + 0 + 0 = 666.

45114052662000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1211975389 + ... + 1212012611.

It is an arithmetic number, because the mean of its divisors is an integer number (375211815264).

Almost surely, 2^{45114052662000} is an apocalyptic number.

45114052662000 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 45114052662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90050835663360).

45114052662000 is an abundant number, since it is smaller than the sum of its proper divisors (134987618664720).

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

45114052662000 is a wasteful number, since it uses less digits than its factorization.

45114052662000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46878 (or 46859 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 45114052662000 in words is "forty-five trillion, one hundred fourteen billion, fifty-two million, six hundred sixty-two thousand".