245151446060400 has 480 divisors, whose sum is σ = 869540048732160. Its totient is φ = 58545460608000.

The previous prime is 245151446060371. The next prime is 245151446060401. The reversal of 245151446060400 is 4060644151542.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245151446060401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259211581 + ... + 260155619.

It is an arithmetic number, because the mean of its divisors is an integer number (1811541768192).

Almost surely, 2^{245151446060400} is an apocalyptic number.

245151446060400 is a gapful number since it is divisible by the number (20) 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 245151446060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434770024366080).

245151446060400 is an abundant number, since it is smaller than the sum of its proper divisors (624388602671760).

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

245151446060400 is a wasteful number, since it uses less digits than its factorization.

245151446060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944365 (or 944354 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 245151446060400 in words is "two hundred forty-five trillion, one hundred fifty-one billion, four hundred forty-six million, sixty thousand, four hundred".