245742387408 has 320 divisors, whose sum is σ = 821248151040. Its totient is φ = 68901580800.

The previous prime is 245742387377. The next prime is 245742387413. The reversal of 245742387408 is 804783247542.

245742387408 is a `hidden beast` number, since 2 + 4 + 574 + 23 + 8 + 7 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96104466 + ... + 96107022.

It is an arithmetic number, because the mean of its divisors is an integer number (2566400472).

Almost surely, 2^245742387408 is an apocalyptic number.

245742387408 is a gapful number since it is divisible by the number (28) 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 245742387408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410624075520).

245742387408 is an abundant number, since it is smaller than the sum of its proper divisors (575505763632).

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

245742387408 is a wasteful number, since it uses less digits than its factorization.

245742387408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 245742387408 in words is "two hundred forty-five billion, seven hundred forty-two million, three hundred eighty-seven thousand, four hundred eight".