1946072836000 has 192 divisors, whose sum is σ = 4881973299840. Its totient is φ = 762226329600.

The previous prime is 1946072835989. The next prime is 1946072836009. The reversal of 1946072836000 is 6382706491.

It is not an unprimeable number, because it can be changed into a prime (1946072836009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40564027 + ... + 40611973.

It is an arithmetic number, because the mean of its divisors is an integer number (25426944270).

Almost surely, 2^{1946072836000} is an apocalyptic number.

1946072836000 is a gapful number since it is divisible by the number (10) 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 1946072836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440986649920).

1946072836000 is an abundant number, since it is smaller than the sum of its proper divisors (2935900463840).

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

1946072836000 is a wasteful number, since it uses less digits than its factorization.

1946072836000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48184 (or 48166 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 1946072836000 in words is "one trillion, nine hundred forty-six billion, seventy-two million, eight hundred thirty-six thousand".