45481651776 has 336 divisors, whose sum is σ = 147109330368. Its totient is φ = 13315276800.

The previous prime is 45481651753. The next prime is 45481651781. The reversal of 45481651776 is 67715618454.

45481651776 is a `hidden beast` number, since 4 + 5 + 48 + 16 + 517 + 76 = 666.

45481651776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 26426596 + ... + 26428316.

It is an arithmetic number, because the mean of its divisors is an integer number (437825388).

Almost surely, 2^45481651776 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 45481651776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73554665184).

45481651776 is an abundant number, since it is smaller than the sum of its proper divisors (101627678592).

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

45481651776 is a wasteful number, since it uses less digits than its factorization.

45481651776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1877 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 45481651776 in words is "forty-five billion, four hundred eighty-one million, six hundred fifty-one thousand, seven hundred seventy-six".