46206063787968 has 1008 divisors, whose sum is σ = 162048098234880. Its totient is φ = 12539725406208.

The previous prime is 46206063787913. The next prime is 46206063787997. The reversal of 46206063787968 is 86978736060264.

46206063787968 is a `hidden beast` number, since 4 + 6 + 2 + 0 + 606 + 3 + 7 + 8 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 46206063787896 and 46206063787905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6423750580 + ... + 6423757772.

Almost surely, 2^{46206063787968} is an apocalyptic number.

46206063787968 is a gapful number since it is divisible by the number (48) 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 46206063787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81024049117440).

46206063787968 is an abundant number, since it is smaller than the sum of its proper divisors (115842034446912).

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

46206063787968 is a wasteful number, since it uses less digits than its factorization.

46206063787968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 46206063787968 in words is "forty-six trillion, two hundred six billion, sixty-three million, seven hundred eighty-seven thousand, nine hundred sixty-eight".