46442022174720 has 1216 divisors, whose sum is σ = 169875027786240. Its totient is φ = 12034901016576.

The previous prime is 46442022174689. The next prime is 46442022174739. The reversal of 46442022174720 is 2747122024464.

46442022174720 is a `hidden beast` number, since 4 + 6 + 4 + 420 + 2 + 217 + 4 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×46442022174720² (a number of 28 digits) contains 22 as substring.

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

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 284920381359 + ... + 284920381521.

Almost surely, 2^{46442022174720} is an apocalyptic number.

46442022174720 is a gapful number since it is divisible by the number (40) 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 46442022174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84937513893120).

46442022174720 is an abundant number, since it is smaller than the sum of its proper divisors (123433005611520).

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

46442022174720 is an frugal number, since it uses more digits than its factorization.

46442022174720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 46442022174720 in words is "forty-six trillion, four hundred forty-two billion, twenty-two million, one hundred seventy-four thousand, seven hundred twenty".