46634016 has 192 divisors, whose sum is σ = 149022720. Its totient is φ = 12579840.

The previous prime is 46633963. The next prime is 46634033. The reversal of 46634016 is 61043664.

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, 590265 + ... + 590343.

It is an arithmetic number, because the mean of its divisors is an integer number (776160).

Almost surely, 2^46634016 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 46634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511360).

46634016 is an abundant number, since it is smaller than the sum of its proper divisors (102388704).

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

46634016 is a wasteful number, since it uses less digits than its factorization.

46634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 46634016 is about 6828.9103083874. The cubic root of 46634016 is about 359.9434479069.

The spelling of 46634016 in words is "forty-six million, six hundred thirty-four thousand, sixteen".