46703776896 has 288 divisors, whose sum is σ = 157063175100. Its totient is φ = 13281988608.

The previous prime is 46703776879. The next prime is 46703776913. The reversal of 46703776896 is 69867730764.

It is an interprime number because it is at equal distance from previous prime (46703776879) and next prime (46703776913).

It can be written as a sum of positive squares in 2 ways, for example, as 46025695296 + 678081600 = 214536^2 + 26040^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12924786 + ... + 12928398.

Almost surely, 2^46703776896 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 46703776896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78531587550).

46703776896 is an abundant number, since it is smaller than the sum of its proper divisors (110359398204).

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

46703776896 is a wasteful number, since it uses less digits than its factorization.

46703776896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 46703776896 in words is "forty-six billion, seven hundred three million, seven hundred seventy-six thousand, eight hundred ninety-six".