45252619776000 has 2496 divisors, whose sum is σ = 202002496690176. Its totient is φ = 9489678336000.

The previous prime is 45252619775983. The next prime is 45252619776031. The reversal of 45252619776000 is 67791625254.

It is a happy number.

45252619776000 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 26 + 1 + 9 + 7 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130411007827 + ... + 130411008173.

It is an arithmetic number, because the mean of its divisors is an integer number (80930487456).

Almost surely, 2^{45252619776000} is an apocalyptic number.

45252619776000 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 45252619776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101001248345088).

45252619776000 is an abundant number, since it is smaller than the sum of its proper divisors (156749876914176).

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

45252619776000 is a wasteful number, since it uses less digits than its factorization.

45252619776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 45252619776000 in words is "forty-five trillion, two hundred fifty-two billion, six hundred nineteen million, seven hundred seventy-six thousand".