31434260802048 has 480 divisors, whose sum is σ = 99613215846144. Its totient is φ = 9482931634176.

The previous prime is 31434260802017. The next prime is 31434260802073. The reversal of 31434260802048 is 84020806243413.

It is a happy number.

31434260802048 is a `hidden beast` number, since 3 + 1 + 4 + 34 + 2 + 608 + 0 + 2 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×31434260802048² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31434260801994 and 31434260802012.

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 47 ways as a sum of consecutive naturals, for example, 6359346265 + ... + 6359351207.

Almost surely, 2^{31434260802048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31434260802048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49806607923072).

31434260802048 is an abundant number, since it is smaller than the sum of its proper divisors (68178955044096).

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

31434260802048 is a wasteful number, since it uses less digits than its factorization.

31434260802048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7017 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 31434260802048 in words is "thirty-one trillion, four hundred thirty-four billion, two hundred sixty million, eight hundred two thousand, forty-eight".