31481646416640 has 2016 divisors, whose sum is σ = 137328026693760. Its totient is φ = 6747081670656.

The previous prime is 31481646416639. The next prime is 31481646416641. The reversal of 31481646416640 is 4661464618413.

31481646416640 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 16 + 464 + 166 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31481646416639) and next prime (31481646416641).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×31481646416640² (a number of 28 digits) contains 22 as substring.

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 (31481646416641) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 56520011242 + ... + 56520011798.

It is an arithmetic number, because the mean of its divisors is an integer number (68119060860).

Almost surely, 2^{31481646416640} is an apocalyptic number.

31481646416640 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 31481646416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68664013346880).

31481646416640 is an abundant number, since it is smaller than the sum of its proper divisors (105846380277120).

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

31481646416640 is an equidigital number, since it uses as much as digits as its factorization.

31481646416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 31481646416640 in words is "thirty-one trillion, four hundred eighty-one billion, six hundred forty-six million, four hundred sixteen thousand, six hundred forty".