1945334891136 has 576 divisors, whose sum is σ = 6561496212480. Its totient is φ = 508909879296.

The previous prime is 1945334891131. The next prime is 1945334891167. The reversal of 1945334891136 is 6311984335491.

It is a super-2 number, since 2×1945334891136² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1945334891131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 403845400 + ... + 403850216.

It is an arithmetic number, because the mean of its divisors is an integer number (11391486480).

Almost surely, 2^{1945334891136} is an apocalyptic number.

1945334891136 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 1945334891136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280748106240).

1945334891136 is an abundant number, since it is smaller than the sum of its proper divisors (4616161321344).

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

1945334891136 is a wasteful number, since it uses less digits than its factorization.

1945334891136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4969 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 57.

The spelling of 1945334891136 in words is "one trillion, nine hundred forty-five billion, three hundred thirty-four million, eight hundred ninety-one thousand, one hundred thirty-six".