46016742745440 has 576 divisors, whose sum is σ = 167231010989952. Its totient is φ = 11482693632000.

The previous prime is 46016742745387. The next prime is 46016742745453. The reversal of 46016742745440 is 4454724761064.

It is a happy number.

46016742745440 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 6 + 74 + 27 + 4 + 544 + 0 = 666.

46016742745440 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-2 number, since 2×46016742745440² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3052917744 + ... + 3052932816.

It is an arithmetic number, because the mean of its divisors is an integer number (290331616302).

Almost surely, 2^{46016742745440} is an apocalyptic number.

46016742745440 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 46016742745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83615505494976).

46016742745440 is an abundant number, since it is smaller than the sum of its proper divisors (121214268244512).

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

46016742745440 is a wasteful number, since it uses less digits than its factorization.

46016742745440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15823 (or 15812 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 46016742745440 in words is "forty-six trillion, sixteen billion, seven hundred forty-two million, seven hundred forty-five thousand, four hundred forty".