31600049481000 has 6144 divisors, whose sum is σ = 161336448000000. Its totient is φ = 5606931456000.

The previous prime is 31600049480983. The next prime is 31600049481017. The reversal of 31600049481000 is 18494000613.

31600049481000 is a `hidden beast` number, since 3 + 1 + 60 + 0 + 0 + 494 + 8 + 100 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31600049480983) and next prime (31600049481017).

It is a super-2 number, since 2×31600049481000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 212080868926 + ... + 212080869074.

It is an arithmetic number, because the mean of its divisors is an integer number (26259187500).

Almost surely, 2^{31600049481000} is an apocalyptic number.

31600049481000 is a gapful number since it is divisible by the number (30) 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 31600049481000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224000000).

31600049481000 is an abundant number, since it is smaller than the sum of its proper divisors (129736398519000).

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

31600049481000 is a wasteful number, since it uses less digits than its factorization.

31600049481000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 31600049481000 in words is "thirty-one trillion, six hundred billion, forty-nine million, four hundred eighty-one thousand".