31029308249004 has 192 divisors, whose sum is σ = 92279982412800. Its totient is φ = 8932054311936.

The previous prime is 31029308248969. The next prime is 31029308249081. The reversal of 31029308249004 is 40094280392013.

31029308249004 is a `hidden beast` number, since 31 + 0 + 29 + 30 + 82 + 490 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93627 + ... + 7878285.

It is an arithmetic number, because the mean of its divisors is an integer number (480624908400).

Almost surely, 2^{31029308249004} is an apocalyptic number.

31029308249004 is a gapful number since it is divisible by the number (34) 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 31029308249004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46139991206400).

31029308249004 is an abundant number, since it is smaller than the sum of its proper divisors (61250674163796).

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

31029308249004 is a wasteful number, since it uses less digits than its factorization.

31029308249004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7784869 (or 7784861 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 31029308249004 in words is "thirty-one trillion, twenty-nine billion, three hundred eight million, two hundred forty-nine thousand, four".