46361613312 has 264 divisors, whose sum is σ = 157135187456. Its totient is φ = 12887506944.

The previous prime is 46361613293. The next prime is 46361613323. The reversal of 46361613312 is 21331616364.

46361613312 is a `hidden beast` number, since 4 + 6 + 3 + 6 + 1 + 613 + 31 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 2377233 + ... + 2396655.

Almost surely, 2^46361613312 is an apocalyptic number.

46361613312 is a gapful number since it is divisible by the number (42) 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 46361613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78567593728).

46361613312 is an abundant number, since it is smaller than the sum of its proper divisors (110773574144).

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

46361613312 is a wasteful number, since it uses less digits than its factorization.

46361613312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19493 (or 19472 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 46361613312 in words is "forty-six billion, three hundred sixty-one million, six hundred thirteen thousand, three hundred twelve".