1946733083136 has 240 divisors, whose sum is σ = 5874876019584. Its totient is φ = 619406548992.

The previous prime is 1946733083129. The next prime is 1946733083143. The reversal of 1946733083136 is 6313803376491.

It is a happy number.

1946733083136 is a `hidden beast` number, since 19 + 4 + 6 + 7 + 3 + 308 + 313 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1946733083129) and next prime (1946733083143).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51595350 + ... + 51633066.

Almost surely, 2^{1946733083136} is an apocalyptic number.

1946733083136 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 1946733083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937438009792).

1946733083136 is an abundant number, since it is smaller than the sum of its proper divisors (3928142936448).

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

1946733083136 is a wasteful number, since it uses less digits than its factorization.

1946733083136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38251 (or 38232 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 1946733083136 in words is "one trillion, nine hundred forty-six billion, seven hundred thirty-three million, eighty-three thousand, one hundred thirty-six".