46251343872 has 256 divisors, whose sum is σ = 139447994400. Its totient is φ = 15146680320.

The previous prime is 46251343841. The next prime is 46251343889. The reversal of 46251343872 is 27834315264.

46251343872 is a `hidden beast` number, since 4 + 62 + 513 + 4 + 3 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53968468 + ... + 53969324.

Almost surely, 2^46251343872 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 46251343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69723997200).

46251343872 is an abundant number, since it is smaller than the sum of its proper divisors (93196650528).

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

46251343872 is an frugal number, since it uses more digits than its factorization.

46251343872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 923 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 46251343872 in words is "forty-six billion, two hundred fifty-one million, three hundred forty-three thousand, eight hundred seventy-two".