46413023328 has 576 divisors, whose sum is σ = 165057564672. Its totient is φ = 12542999040.

The previous prime is 46413023317. The next prime is 46413023329. The reversal of 46413023328 is 82332031464.

46413023328 is a `hidden beast` number, since 4 + 6 + 413 + 0 + 233 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46413023292 and 46413023301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46413023329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164003475 + ... + 164003757.

It is an arithmetic number, because the mean of its divisors is an integer number (286558272).

Almost surely, 2^46413023328 is an apocalyptic number.

46413023328 is a gapful number since it is divisible by the number (48) 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 46413023328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82528782336).

46413023328 is an abundant number, since it is smaller than the sum of its proper divisors (118644541344).

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

46413023328 is a wasteful number, since it uses less digits than its factorization.

46413023328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 46413023328 in words is "forty-six billion, four hundred thirteen million, twenty-three thousand, three hundred twenty-eight".