42645100254156 has 144 divisors (see below), whose sum is σ = 114984541919520. Its totient is φ = 13279710412800.

The previous prime is 42645100254109. The next prime is 42645100254161. The reversal of 42645100254156 is 65145200154624.

42645100254156 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 51 + 0 + 0 + 2 + 541 + 56 = 666.

It is a super-2 number, since 2×42645100254156² (a number of 28 digits) contains 22 as substring.

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, 408359260 + ... + 408463676.

It is an arithmetic number, because the mean of its divisors is an integer number (798503763330).

Almost surely, 2^{42645100254156} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42645100254156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57492270959760).

42645100254156 is an abundant number, since it is smaller than the sum of its proper divisors (72339441665364).

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

42645100254156 is a wasteful number, since it uses less digits than its factorization.

42645100254156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109384 (or 109379 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 42645100254156 in words is "forty-two trillion, six hundred forty-five billion, one hundred million, two hundred fifty-four thousand, one hundred fifty-six".