1946811003984 has 1080 divisors, whose sum is σ = 7396239333600. Its totient is φ = 472591687680.

The previous prime is 1946811003911. The next prime is 1946811003989. The reversal of 1946811003984 is 4893001186491.

1946811003984 is a `hidden beast` number, since 1 + 94 + 68 + 1 + 100 + 398 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1946811003984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1946811003989) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5136704307 + ... + 5136704685.

Almost surely, 2^{1946811003984} is an apocalyptic number.

1946811003984 is a gapful number since it is divisible by the number (14) 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 1946811003984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698119666800).

1946811003984 is an abundant number, since it is smaller than the sum of its proper divisors (5449428329616).

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

1946811003984 is a wasteful number, since it uses less digits than its factorization.

1946811003984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1946811003984 in words is "one trillion, nine hundred forty-six billion, eight hundred eleven million, three thousand, nine hundred eighty-four".