46691116416 has 384 divisors, whose sum is σ = 160553352960. Its totient is φ = 13230397440.

The previous prime is 46691116387. The next prime is 46691116429. The reversal of 46691116416 is 61461119664.

46691116416 is a `hidden beast` number, since 466 + 9 + 11 + 164 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 28521550 + ... + 28523186.

It is an arithmetic number, because the mean of its divisors is an integer number (418107690).

Almost surely, 2^46691116416 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 46691116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80276676480).

46691116416 is an abundant number, since it is smaller than the sum of its proper divisors (113862236544).

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

46691116416 is a wasteful number, since it uses less digits than its factorization.

46691116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1780 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 46691116416 in words is "forty-six billion, six hundred ninety-one million, one hundred sixteen thousand, four hundred sixteen".