1946420743136 has 96 divisors (see below), whose sum is σ = 4036169088000. Its totient is φ = 922189847040.

The previous prime is 1946420743121. The next prime is 1946420743151. The reversal of 1946420743136 is 6313470246491.

It is an interprime number because it is at equal distance from previous prime (1946420743121) and next prime (1946420743151).

It is a super-2 number, since 2×1946420743136² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41539241 + ... + 41586071.

It is an arithmetic number, because the mean of its divisors is an integer number (42043428000).

Almost surely, 2^{1946420743136} is an apocalyptic number.

1946420743136 is a gapful number since it is divisible by the number (16) 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 1946420743136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018084544000).

1946420743136 is an abundant number, since it is smaller than the sum of its proper divisors (2089748344864).

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

1946420743136 is a wasteful number, since it uses less digits than its factorization.

1946420743136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47392 (or 47384 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 50.

The spelling of 1946420743136 in words is "one trillion, nine hundred forty-six billion, four hundred twenty million, seven hundred forty-three thousand, one hundred thirty-six".