31349113043976 has 2048 divisors, whose sum is σ = 120620236800000. Its totient is φ = 7466363412480.

The previous prime is 31349113043971. The next prime is 31349113044083. The reversal of 31349113043976 is 67934031194313.

31349113043976 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 9 + 1 + 130 + 439 + 76 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31349113043971) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 41412302190 + ... + 41412302946.

It is an arithmetic number, because the mean of its divisors is an integer number (58896600000).

Almost surely, 2^{31349113043976} is an apocalyptic number.

31349113043976 is a gapful number since it is divisible by the number (36) 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 31349113043976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60310118400000).

31349113043976 is an abundant number, since it is smaller than the sum of its proper divisors (89271123756024).

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

31349113043976 is a wasteful number, since it uses less digits than its factorization.

31349113043976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 31349113043976 in words is "thirty-one trillion, three hundred forty-nine billion, one hundred thirteen million, forty-three thousand, nine hundred seventy-six".