46381513320 has 192 divisors, whose sum is σ = 159051859200. Its totient is φ = 11689505280.

The previous prime is 46381513313. The next prime is 46381513349. The reversal of 46381513320 is 2331518364.

46381513320 is a `hidden beast` number, since 4 + 63 + 81 + 513 + 3 + 2 + 0 = 666.

46381513320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×46381513320³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2940174 + ... + 2955906.

It is an arithmetic number, because the mean of its divisors is an integer number (828395100).

Almost surely, 2^46381513320 is an apocalyptic number.

46381513320 is a gapful number since it is divisible by the number (40) 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 46381513320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79525929600).

46381513320 is an abundant number, since it is smaller than the sum of its proper divisors (112670345880).

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

46381513320 is a wasteful number, since it uses less digits than its factorization.

46381513320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16200 (or 16193 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 46381513320 in words is "forty-six billion, three hundred eighty-one million, five hundred thirteen thousand, three hundred twenty".