1945947616704 has 896 divisors, whose sum is σ = 7551919872000. Its totient is φ = 476993028096.

The previous prime is 1945947616687. The next prime is 1945947616709. The reversal of 1945947616704 is 4076167495491.

1945947616704 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 9 + 4 + 7 + 616 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1945947616709) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158342592 + ... + 158354880.

It is an arithmetic number, because the mean of its divisors is an integer number (8428482000).

Almost surely, 2^{1945947616704} is an apocalyptic number.

1945947616704 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 1945947616704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775959936000).

1945947616704 is an abundant number, since it is smaller than the sum of its proper divisors (5605972255296).

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

1945947616704 is a wasteful number, since it uses less digits than its factorization.

1945947616704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12402 (or 12386 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 1945947616704 in words is "one trillion, nine hundred forty-five billion, nine hundred forty-seven million, six hundred sixteen thousand, seven hundred four".