46226619648 has 360 divisors, whose sum is σ = 154069001856. Its totient is φ = 13663641600.

The previous prime is 46226619631. The next prime is 46226619679. The reversal of 46226619648 is 84691662264.

46226619648 is a `hidden beast` number, since 4 + 622 + 6 + 6 + 1 + 9 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 46226619594 and 46226619603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9349465 + ... + 9354407.

Almost surely, 2^46226619648 is an apocalyptic number.

46226619648 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 46226619648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77034500928).

46226619648 is an abundant number, since it is smaller than the sum of its proper divisors (107842382208).

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

46226619648 is a wasteful number, since it uses less digits than its factorization.

46226619648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5000 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 46226619648 in words is "forty-six billion, two hundred twenty-six million, six hundred nineteen thousand, six hundred forty-eight".