46601056404 has 480 divisors, whose sum is σ = 153870925824. Its totient is φ = 11992458240.

The previous prime is 46601056393. The next prime is 46601056417. The reversal of 46601056404 is 40465010664.

46601056404 is a `hidden beast` number, since 4 + 6 + 6 + 0 + 1 + 0 + 5 + 640 + 4 = 666.

It is a super-2 number, since 2×46601056404² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 151794819 + ... + 151795125.

Almost surely, 2^46601056404 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 46601056404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76935462912).

46601056404 is an abundant number, since it is smaller than the sum of its proper divisors (107269869420).

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

46601056404 is a wasteful number, since it uses less digits than its factorization.

46601056404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 46601056404 in words is "forty-six billion, six hundred one million, fifty-six thousand, four hundred four".