456530515131606 has 64 divisors (see below), whose sum is σ = 944036530617600. Its totient is φ = 147084541148160.

The previous prime is 456530515131599. The next prime is 456530515131611. The reversal of 456530515131606 is 606131515035654.

It is a super-3 number, since 3×456530515131606³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57511545 + ... + 64966443.

It is an arithmetic number, because the mean of its divisors is an integer number (14750570790900).

Almost surely, 2^{456530515131606} is an apocalyptic number.

456530515131606 is an abundant number, since it is smaller than the sum of its proper divisors (487506015485994).

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

456530515131606 is a wasteful number, since it uses less digits than its factorization.

456530515131606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457261.

The product of its (nonzero) digits is 4860000, while the sum is 51.

The spelling of 456530515131606 in words is "four hundred fifty-six trillion, five hundred thirty billion, five hundred fifteen million, one hundred thirty-one thousand, six hundred six".