46794180266064 has 960 divisors, whose sum is σ = 175684415477760. Its totient is φ = 11784745728000.

The previous prime is 46794180266047. The next prime is 46794180266087. The reversal of 46794180266064 is 46066208149764.

It is a happy number.

46794180266064 is a `hidden beast` number, since 4 + 6 + 7 + 9 + 4 + 18 + 0 + 2 + 6 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 46794180265992 and 46794180266010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1556108149 + ... + 1556138219.

It is an arithmetic number, because the mean of its divisors is an integer number (183004599456).

Almost surely, 2^{46794180266064} is an apocalyptic number.

46794180266064 is a gapful number since it is divisible by the number (44) 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 46794180266064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87842207738880).

46794180266064 is an abundant number, since it is smaller than the sum of its proper divisors (128890235211696).

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

46794180266064 is a wasteful number, since it uses less digits than its factorization.

46794180266064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30317 (or 30298 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 46794180266064 in words is "forty-six trillion, seven hundred ninety-four billion, one hundred eighty million, two hundred sixty-six thousand, sixty-four".