46973023219872 has 288 divisors, whose sum is σ = 139654685701440. Its totient is φ = 15530416312320.

The previous prime is 46973023219823. The next prime is 46973023219891. The reversal of 46973023219872 is 27891232037964.

46973023219872 is a `hidden beast` number, since 46 + 9 + 7 + 302 + 3 + 219 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1181364472 + ... + 1181404232.

It is an arithmetic number, because the mean of its divisors is an integer number (484912103130).

Almost surely, 2^{46973023219872} 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 46973023219872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69827342850720).

46973023219872 is an abundant number, since it is smaller than the sum of its proper divisors (92681662481568).

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

46973023219872 is a wasteful number, since it uses less digits than its factorization.

46973023219872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41018 (or 40998 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 46973023219872 in words is "forty-six trillion, nine hundred seventy-three billion, twenty-three million, two hundred nineteen thousand, eight hundred seventy-two".