46013340672 has 396 divisors, whose sum is σ = 148665651264. Its totient is φ = 13686865920.

The previous prime is 46013340643. The next prime is 46013340677. The reversal of 46013340672 is 27604331064.

It is a happy number.

46013340672 is a `hidden beast` number, since 4 + 601 + 3 + 3 + 40 + 6 + 7 + 2 = 666.

It is a super-3 number, since 3×46013340672³ (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46013340677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48282148 + ... + 48283100.

Almost surely, 2^46013340672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46013340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74332825632).

46013340672 is an abundant number, since it is smaller than the sum of its proper divisors (102652310592).

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

46013340672 is a wasteful number, since it uses less digits than its factorization.

46013340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 46013340672 in words is "forty-six billion, thirteen million, three hundred forty thousand, six hundred seventy-two".