46081407744 has 216 divisors, whose sum is σ = 137496707712. Its totient is φ = 14827438080.

The previous prime is 46081407739. The next prime is 46081407751. The reversal of 46081407744 is 44770418064.

It is a happy number.

46081407744 is a `hidden beast` number, since 460 + 8 + 140 + 7 + 7 + 44 = 666.

It is a super-2 number, since 2×46081407744² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46081407744.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48353572 + ... + 48354524.

It is an arithmetic number, because the mean of its divisors is an integer number (636558832).

Almost surely, 2^46081407744 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 46081407744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68748353856).

46081407744 is an abundant number, since it is smaller than the sum of its proper divisors (91415299968).

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

46081407744 is a wasteful number, since it uses less digits than its factorization.

46081407744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 46081407744 in words is "forty-six billion, eighty-one million, four hundred seven thousand, seven hundred forty-four".