46611542016 has 520 divisors, whose sum is σ = 152853102864. Its totient is φ = 14067302400.

The previous prime is 46611542011. The next prime is 46611542027. The reversal of 46611542016 is 61024511664.

46611542016 is a `hidden beast` number, since 4 + 6 + 611 + 5 + 4 + 20 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46611542011) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 435621835 + ... + 435621941.

Almost surely, 2^46611542016 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 46611542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76426551432).

46611542016 is an abundant number, since it is smaller than the sum of its proper divisors (106241560848).

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

46611542016 is a wasteful number, since it uses less digits than its factorization.

46611542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 46611542016 in words is "forty-six billion, six hundred eleven million, five hundred forty-two thousand, sixteen".