46638435042 has 64 divisors (see below), whose sum is σ = 107264304000. Its totient is φ = 15003140544.

The previous prime is 46638435031. The next prime is 46638435043. The reversal of 46638435042 is 24053483664.

46638435042 is a `hidden beast` number, since 4 + 6 + 63 + 84 + 3 + 504 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (46638435043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4211709 + ... + 4222767.

It is an arithmetic number, because the mean of its divisors is an integer number (1676004750).

Almost surely, 2^46638435042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46638435042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53632152000).

46638435042 is an abundant number, since it is smaller than the sum of its proper divisors (60625868958).

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

46638435042 is a wasteful number, since it uses less digits than its factorization.

46638435042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13792 (or 13786 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 46638435042 in words is "forty-six billion, six hundred thirty-eight million, four hundred thirty-five thousand, forty-two".