46966021286976 has 945 divisors, whose sum is σ = 162880366979407. Its totient is φ = 13368627486720.

The previous prime is 46966021286917. The next prime is 46966021287043. The reversal of 46966021286976 is 67968212066964.

The square root of 46966021286976 is 6853176.

It is a perfect power (a square), and thus also a powerful number.

46966021286976 is a `hidden beast` number, since 4 + 6 + 9 + 6 + 602 + 1 + 2 + 8 + 6 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16475481000000 + 30490540286976 = 4059000^2 + 5521824^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 92271161410 + ... + 92271161918.

Almost surely, 2^{46966021286976} is an apocalyptic number.

46966021286976 is the 6853176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46966021286976

46966021286976 is an abundant number, since it is smaller than the sum of its proper divisors (115914345692431).

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

46966021286976 is an equidigital number, since it uses as much as digits as its factorization.

46966021286976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 46966021286976 in words is "forty-six trillion, nine hundred sixty-six billion, twenty-one million, two hundred eighty-six thousand, nine hundred seventy-six".