46525533552564 has 96 divisors (see below), whose sum is σ = 121732408248192. Its totient is φ = 13705985088000.

The previous prime is 46525533552557. The next prime is 46525533552611.

It is a happy number.

46525533552564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46525533552498 and 46525533552507.

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, 1734934 + ... + 9801074.

It is an arithmetic number, because the mean of its divisors is an integer number (1268045919252).

Almost surely, 2^{46525533552564} is an apocalyptic number.

46525533552564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46525533552564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60866204124096).

46525533552564 is an abundant number, since it is smaller than the sum of its proper divisors (75206874695628).

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

46525533552564 is a wasteful number, since it uses less digits than its factorization.

46525533552564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8067377 (or 8067375 counting only the distinct ones).

The product of its digits is 324000000, while the sum is 60.

The spelling of 46525533552564 in words is "forty-six trillion, five hundred twenty-five billion, five hundred thirty-three million, five hundred fifty-two thousand, five hundred sixty-four".