1946904960000 has 1760 divisors, whose sum is σ = 8714973915648. Its totient is φ = 373063680000.

The previous prime is 1946904959977. The next prime is 1946904960029. The reversal of 1946904960000 is 694096491.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1921919494 + ... + 1921920506.

Almost surely, 2^{1946904960000} is an apocalyptic number.

1946904960000 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 1946904960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357486957824).

1946904960000 is an abundant number, since it is smaller than the sum of its proper divisors (6768068955648).

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

1946904960000 is a wasteful number, since it uses less digits than its factorization.

1946904960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 1946904960000 in words is "one trillion, nine hundred forty-six billion, nine hundred four million, nine hundred sixty thousand".