1945347872832 has 896 divisors, whose sum is σ = 7262665159680. Its totient is φ = 496867737600.

The previous prime is 1945347872807. The next prime is 1945347872861. The reversal of 1945347872832 is 2382787435491.

It is a happy number.

1945347872832 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 347 + 8 + 7 + 283 + 2 = 666.

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

Its product of digits (81285120) is a multiple of the sum of its prime divisors (1620).

It is a self number, because there is not a number n which added to its sum of digits gives 1945347872832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1495270582 + ... + 1495271882.

It is an arithmetic number, because the mean of its divisors is an integer number (8105653080).

Almost surely, 2^{1945347872832} is an apocalyptic number.

1945347872832 is a gapful number since it is divisible by the number (12) 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 1945347872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631332579840).

1945347872832 is an abundant number, since it is smaller than the sum of its proper divisors (5317317286848).

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

1945347872832 is a wasteful number, since it uses less digits than its factorization.

1945347872832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1620 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 1945347872832 in words is "one trillion, nine hundred forty-five billion, three hundred forty-seven million, eight hundred seventy-two thousand, eight hundred thirty-two".