1931481317376 has 288 divisors, whose sum is σ = 6163254558720. Its totient is φ = 594287788032.

The previous prime is 1931481317369. The next prime is 1931481317383. The reversal of 1931481317376 is 6737131841391.

It is a happy number.

1931481317376 is a `hidden beast` number, since 1 + 9 + 314 + 8 + 1 + 317 + 3 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1931481317369) and next prime (1931481317383).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45985281 + ... + 46027263.

It is an arithmetic number, because the mean of its divisors is an integer number (21400189440).

Almost surely, 2^{1931481317376} is an apocalyptic number.

1931481317376 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 1931481317376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081627279360).

1931481317376 is an abundant number, since it is smaller than the sum of its proper divisors (4231773241344).

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

1931481317376 is an frugal number, since it uses more digits than its factorization.

1931481317376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42039 (or 42001 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 1931481317376 in words is "one trillion, nine hundred thirty-one billion, four hundred eighty-one million, three hundred seventeen thousand, three hundred seventy-six".