46524450816 has 480 divisors, whose sum is σ = 146507961600. Its totient is φ = 14691041280.

The previous prime is 46524450811. The next prime is 46524450829. The reversal of 46524450816 is 61805442564.

It is a happy number.

46524450816 is a `hidden beast` number, since 4 + 6 + 524 + 45 + 0 + 81 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (46524450811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 426829770 + ... + 426829878.

It is an arithmetic number, because the mean of its divisors is an integer number (305224920).

Almost surely, 2^46524450816 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 46524450816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73253980800).

46524450816 is an abundant number, since it is smaller than the sum of its proper divisors (99983510784).

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

46524450816 is a wasteful number, since it uses less digits than its factorization.

46524450816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 46524450816 in words is "forty-six billion, five hundred twenty-four million, four hundred fifty thousand, eight hundred sixteen".