46161004032 has 640 divisors, whose sum is σ = 169114176000. Its totient is φ = 12222627840.

The previous prime is 46161004007. The next prime is 46161004037. The reversal of 46161004032 is 23040016164.

46161004032 is a `hidden beast` number, since 4 + 6 + 1 + 610 + 0 + 40 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 46161003987 and 46161004005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46161004037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37559194 + ... + 37560422.

It is an arithmetic number, because the mean of its divisors is an integer number (264240900).

Almost surely, 2^46161004032 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 46161004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84557088000).

46161004032 is an abundant number, since it is smaller than the sum of its proper divisors (122953171968).

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

46161004032 is a wasteful number, since it uses less digits than its factorization.

46161004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 46161004032 in words is "forty-six billion, one hundred sixty-one million, four thousand, thirty-two".