46220961960000 has 735 divisors, whose sum is σ = 171977434410331. Its totient is φ = 12315799872000.

The previous prime is 46220961959987. The next prime is 46220961960023. The reversal of 46220961960000 is 6916902264.

The square root of 46220961960000 is 6798600.

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

46220961960000 is a `hidden beast` number, since 4 + 6 + 2 + 20 + 9 + 6 + 19 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3623723417664 + 42597238542336 = 1903608^2 + 6526656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 36712439371 + ... + 36712440629.

Almost surely, 2^{46220961960000} is an apocalyptic number.

46220961960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46220961960000 is the 6798600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46220961960000

46220961960000 is an abundant number, since it is smaller than the sum of its proper divisors (125756472450331).

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

46220961960000 is an frugal number, since it uses more digits than its factorization.

46220961960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 46220961960000 in words is "forty-six trillion, two hundred twenty billion, nine hundred sixty-one million, nine hundred sixty thousand".