46485177158464 has 112 divisors (see below), whose sum is σ = 106556119258176. Its totient is φ = 19885424025600.

The previous prime is 46485177158363. The next prime is 46485177158471.

46485177158464 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×46485177158464⁴ (a number of 56 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46485177158393 and 46485177158402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198587734 + ... + 198821674.

It is an arithmetic number, because the mean of its divisors is an integer number (951393921948).

Almost surely, 2^{46485177158464} is an apocalyptic number.

46485177158464 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 46485177158464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53278059629088).

46485177158464 is an abundant number, since it is smaller than the sum of its proper divisors (60070942099712).

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

46485177158464 is a wasteful number, since it uses less digits than its factorization.

46485177158464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250584 (or 250574 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 70.

The spelling of 46485177158464 in words is "forty-six trillion, four hundred eighty-five billion, one hundred seventy-seven million, one hundred fifty-eight thousand, four hundred sixty-four".