245134646431542 has 192 divisors, whose sum is σ = 651005936268480. Its totient is φ = 68124805056000.

The previous prime is 245134646431483. The next prime is 245134646431613.

It is a happy number.

245134646431542 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 3 + 4 + 6 + 4 + 64 + 31 + 542 = 666.

245134646431542 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×245134646431542² (a number of 30 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 322795242 + ... + 323553762.

It is an arithmetic number, because the mean of its divisors is an integer number (3390655918065).

Almost surely, 2^{245134646431542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245134646431542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325502968134240).

245134646431542 is an abundant number, since it is smaller than the sum of its proper divisors (405871289836938).

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

245134646431542 is a wasteful number, since it uses less digits than its factorization.

245134646431542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761884 (or 761871 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 245134646431542 in words is "two hundred forty-five trillion, one hundred thirty-four billion, six hundred forty-six million, four hundred thirty-one thousand, five hundred forty-two".