245244444442542 has 128 divisors (see below), whose sum is σ = 558541825720320. Its totient is φ = 79739074308960.

The previous prime is 245244444442513. The next prime is 245244444442567.

245244444442542 is a `hidden beast` number, since 2 + 4 + 52 + 4 + 4 + 4 + 4 + 4 + 4 + 42 + 542 = 666.

245244444442542 is nontrivially palindromic in base 10.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5601340383 + ... + 5601384165.

It is an arithmetic number, because the mean of its divisors is an integer number (4363608013440).

Almost surely, 2^{245244444442542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245244444442542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279270912860160).

245244444442542 is an abundant number, since it is smaller than the sum of its proper divisors (313297381277778).

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

245244444442542 is a wasteful number, since it uses less digits than its factorization.

245244444442542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58995 (or 58989 counting only the distinct ones).

The product of its digits is 104857600, while the sum is 54.

The spelling of 245244444442542 in words is "two hundred forty-five trillion, two hundred forty-four billion, four hundred forty-four million, four hundred forty-two thousand, five hundred forty-two".