46777775616 has 320 divisors, whose sum is σ = 162679587840. Its totient is φ = 13084139520.

The previous prime is 46777775563. The next prime is 46777775623. The reversal of 46777775616 is 61657777764.

46777775616 is a `hidden beast` number, since 4 + 6 + 7 + 7 + 7 + 7 + 7 + 5 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1965001 + ... + 1988663.

It is an arithmetic number, because the mean of its divisors is an integer number (508373712).

Almost surely, 2^46777775616 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 46777775616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81339793920).

46777775616 is an abundant number, since it is smaller than the sum of its proper divisors (115901812224).

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

46777775616 is a wasteful number, since it uses less digits than its factorization.

46777775616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23714 (or 23692 counting only the distinct ones).

The product of its digits is 72606240, while the sum is 63.

The spelling of 46777775616 in words is "forty-six billion, seven hundred seventy-seven million, seven hundred seventy-five thousand, six hundred sixteen".