1946916972000 has 5376 divisors, whose sum is σ = 10394822430720. Its totient is φ = 344881152000.

The previous prime is 1946916971999. The next prime is 1946916972017. The reversal of 1946916972000 is 2796196491.

It is a happy number.

1946916972000 is a `hidden beast` number, since 19 + 469 + 169 + 7 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 67135067986 + ... + 67135068014.

It is an arithmetic number, because the mean of its divisors is an integer number (1933560720).

Almost surely, 2^{1946916972000} is an apocalyptic number.

1946916972000 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 1946916972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197411215360).

1946916972000 is an abundant number, since it is smaller than the sum of its proper divisors (8447905458720).

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

1946916972000 is a wasteful number, since it uses less digits than its factorization.

1946916972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1946916972000 in words is "one trillion, nine hundred forty-six billion, nine hundred sixteen million, nine hundred seventy-two thousand".