46076380416 has 288 divisors, whose sum is σ = 153775843200. Its totient is φ = 13480427520.

The previous prime is 46076380409. The next prime is 46076380463. The reversal of 46076380416 is 61408367064.

It is a happy number.

46076380416 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 638 + 0 + 4 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2194480 + ... + 2215376.

It is an arithmetic number, because the mean of its divisors is an integer number (533943900).

Almost surely, 2^46076380416 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 46076380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76887921600).

46076380416 is an abundant number, since it is smaller than the sum of its proper divisors (107699462784).

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

46076380416 is a wasteful number, since it uses less digits than its factorization.

46076380416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20962 (or 20942 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 46076380416 in words is "forty-six billion, seventy-six million, three hundred eighty thousand, four hundred sixteen".