31698761472480 has 384 divisors, whose sum is σ = 105197354228736. Its totient is φ = 8013164544000.

The previous prime is 31698761472467. The next prime is 31698761472509. The reversal of 31698761472480 is 8427416789613.

It is a super-2 number, since 2×31698761472480² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306183925 + ... + 306287435.

It is an arithmetic number, because the mean of its divisors is an integer number (273951443304).

Almost surely, 2^{31698761472480} is an apocalyptic number.

31698761472480 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 31698761472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52598677114368).

31698761472480 is an abundant number, since it is smaller than the sum of its proper divisors (73498592756256).

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

31698761472480 is a wasteful number, since it uses less digits than its factorization.

31698761472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104010 (or 104002 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 31698761472480 in words is "thirty-one trillion, six hundred ninety-eight billion, seven hundred sixty-one million, four hundred seventy-two thousand, four hundred eighty".