245652000256542 has 96 divisors (see below), whose sum is σ = 545399764372512. Its totient is φ = 73699648000000.

The previous prime is 245652000256511. The next prime is 245652000256571.

245652000256542 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×245652000256542² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245652000256491 and 245652000256500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1980986542 + ... + 1981110542.

It is an arithmetic number, because the mean of its divisors is an integer number (5681247545547).

Almost surely, 2^{245652000256542} is an apocalyptic number.

245652000256542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 245652000256542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272699882186256).

245652000256542 is an abundant number, since it is smaller than the sum of its proper divisors (299747764115970).

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

245652000256542 is a wasteful number, since it uses less digits than its factorization.

245652000256542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151146 (or 151135 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 245652000256542 in words is "two hundred forty-five trillion, six hundred fifty-two billion, two hundred fifty-six thousand, five hundred forty-two".