46257429168 has 120 divisors (see below), whose sum is σ = 130505843520. Its totient is φ = 15294614400.

The previous prime is 46257429077. The next prime is 46257429223. The reversal of 46257429168 is 86192475264.

46257429168 is a `hidden beast` number, since 4 + 6 + 2 + 57 + 429 + 168 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11416743 + ... + 11420793.

It is an arithmetic number, because the mean of its divisors is an integer number (1087548696).

Almost surely, 2^46257429168 is an apocalyptic number.

46257429168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46257429168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65252921760).

46257429168 is an abundant number, since it is smaller than the sum of its proper divisors (84248414352).

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

46257429168 is a wasteful number, since it uses less digits than its factorization.

46257429168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4687 (or 4678 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 46257429168 in words is "forty-six billion, two hundred fifty-seven million, four hundred twenty-nine thousand, one hundred sixty-eight".