46748090016 has 288 divisors, whose sum is σ = 146195234640. Its totient is φ = 14103871488.

The previous prime is 46748090009. The next prime is 46748090021. The reversal of 46748090016 is 61009084764.

46748090016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 36748890000 + 9999200016 = 191700^2 + 99996^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 47848120 + ... + 47849096.

Almost surely, 2^46748090016 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 46748090016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73097617320).

46748090016 is an abundant number, since it is smaller than the sum of its proper divisors (99447144624).

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

46748090016 is a wasteful number, since it uses less digits than its factorization.

46748090016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 46748090016 in words is "forty-six billion, seven hundred forty-eight million, ninety thousand, sixteen".