45334554100000 has 288 divisors, whose sum is σ = 121808113906752. Its totient is φ = 16470652800000.

The previous prime is 45334554099971. The next prime is 45334554100019. The reversal of 45334554100000 is 145543354.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279282282 + ... + 1279317718.

It is an arithmetic number, because the mean of its divisors is an integer number (422944839954).

Almost surely, 2^{45334554100000} is an apocalyptic number.

45334554100000 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 45334554100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60904056953376).

45334554100000 is an abundant number, since it is smaller than the sum of its proper divisors (76473559806752).

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

45334554100000 is a wasteful number, since it uses less digits than its factorization.

45334554100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36646 (or 36618 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 45334554100000 its reverse (145543354), we get a palindrome (45334699643354).

The spelling of 45334554100000 in words is "forty-five trillion, three hundred thirty-four billion, five hundred fifty-four million, one hundred thousand".