46124242164 has 216 divisors, whose sum is σ = 157730168960. Its totient is φ = 11058664320.

The previous prime is 46124242133. The next prime is 46124242181.

46124242164 is a `hidden beast` number, since 4 + 6 + 12 + 424 + 216 + 4 = 666.

46124242164 is nontrivially palindromic in base 10.

46124242164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 338217 + ... + 454575.

Almost surely, 2^46124242164 is an apocalyptic number.

46124242164 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 46124242164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78865084480).

46124242164 is an abundant number, since it is smaller than the sum of its proper divisors (111605926796).

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

46124242164 is a wasteful number, since it uses less digits than its factorization.

46124242164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116411 (or 116395 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 46124242164 in words is "forty-six billion, one hundred twenty-four million, two hundred forty-two thousand, one hundred sixty-four".