245413779408 has 120 divisors (see below), whose sum is σ = 785234706048. Its totient is φ = 70091410176.

The previous prime is 245413779379. The next prime is 245413779427. The reversal of 245413779408 is 804977314542.

245413779408 is a `hidden beast` number, since 2 + 4 + 541 + 3 + 7 + 7 + 94 + 0 + 8 = 666.

245413779408 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2669341 + ... + 2759747.

Almost surely, 2^245413779408 is an apocalyptic number.

245413779408 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 245413779408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392617353024).

245413779408 is an abundant number, since it is smaller than the sum of its proper divisors (539820926640).

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

245413779408 is a wasteful number, since it uses less digits than its factorization.

245413779408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93121 (or 93112 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 245413779408 in words is "two hundred forty-five billion, four hundred thirteen million, seven hundred seventy-nine thousand, four hundred eight".