46777164096 has 224 divisors, whose sum is σ = 141489427968. Its totient is φ = 13511393280.

The previous prime is 46777164073. The next prime is 46777164103. The reversal of 46777164096 is 69046177764.

It is a super-2 number, since 2×46777164096² (a number of 22 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19644826 + ... + 19647206.

It is an arithmetic number, because the mean of its divisors is an integer number (631649232).

Almost surely, 2^46777164096 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 46777164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70744713984).

46777164096 is an abundant number, since it is smaller than the sum of its proper divisors (94712263872).

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

46777164096 is a wasteful number, since it uses less digits than its factorization.

46777164096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 57.

The spelling of 46777164096 in words is "forty-six billion, seven hundred seventy-seven million, one hundred sixty-four thousand, ninety-six".