1245854638080 has 1344 divisors, whose sum is σ = 4946292449280. Its totient is φ = 287758614528.

The previous prime is 1245854638027. The next prime is 1245854638081. The reversal of 1245854638080 is 808364585421.

1245854638080 is a `hidden beast` number, since 1 + 2 + 458 + 54 + 63 + 8 + 0 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (1245854638081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9809878977 + ... + 9809879103.

It is an arithmetic number, because the mean of its divisors is an integer number (3680277120).

Almost surely, 2^{1245854638080} is an apocalyptic number.

1245854638080 is a gapful number since it is divisible by the number (10) 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 1245854638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473146224640).

1245854638080 is an abundant number, since it is smaller than the sum of its proper divisors (3700437811200).

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

1245854638080 is a wasteful number, since it uses less digits than its factorization.

1245854638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 1245854638080 in words is "one trillion, two hundred forty-five billion, eight hundred fifty-four million, six hundred thirty-eight thousand, eighty".