31049082297216 has 256 divisors, whose sum is σ = 93916354996800. Its totient is φ = 10092597903360.

The previous prime is 31049082297193. The next prime is 31049082297227. The reversal of 31049082297216 is 61279228094013.

31049082297216 is a `hidden beast` number, since 3 + 1 + 0 + 490 + 82 + 2 + 9 + 72 + 1 + 6 = 666.

It is a super-2 number, since 2×31049082297216² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313523740 + ... + 313622756.

Almost surely, 2^{31049082297216} is an apocalyptic number.

31049082297216 is a gapful number since it is divisible by the number (36) 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 31049082297216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46958177498400).

31049082297216 is an abundant number, since it is smaller than the sum of its proper divisors (62867272699584).

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

31049082297216 is a wasteful number, since it uses less digits than its factorization.

31049082297216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101294 (or 101276 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 31049082297216 in words is "thirty-one trillion, forty-nine billion, eighty-two million, two hundred ninety-seven thousand, two hundred sixteen".