46678951128576 has 640 divisors, whose sum is σ = 145551484108800. Its totient is φ = 13169861591040.

The previous prime is 46678951128559. The next prime is 46678951128577. The reversal of 46678951128576 is 67582115987664.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 46678951128498 and 46678951128507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46678951128577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1975482330 + ... + 1975505958.

It is an arithmetic number, because the mean of its divisors is an integer number (227424193920).

Almost surely, 2^{46678951128576} 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 46678951128576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72775742054400).

46678951128576 is an abundant number, since it is smaller than the sum of its proper divisors (98872532980224).

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

46678951128576 is a wasteful number, since it uses less digits than its factorization.

46678951128576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23850 (or 23834 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 75.

The spelling of 46678951128576 in words is "forty-six trillion, six hundred seventy-eight billion, nine hundred fifty-one million, one hundred twenty-eight thousand, five hundred seventy-six".