29514980371968 has 2880 divisors, whose sum is σ = 115214732785152. Its totient is φ = 7378485903360.

The previous prime is 29514980371957. The next prime is 29514980371993. The reversal of 29514980371968 is 86917308941592.

29514980371968 is a `hidden beast` number, since 2 + 9 + 5 + 1 + 498 + 0 + 3 + 71 + 9 + 68 = 666.

It is a super-2 number, since 2×29514980371968² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 29514980371896 and 29514980371905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 404314799580 + ... + 404314799652.

It is a 1-persistent number, because it is pandigital, but 2⋅29514980371968 = 59029960743936 is not.

Almost surely, 2^{29514980371968} is an apocalyptic number.

29514980371968 is a gapful number since it is divisible by the number (28) 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 29514980371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57607366392576).

29514980371968 is an abundant number, since it is smaller than the sum of its proper divisors (85699752413184).

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

29514980371968 is an equidigital number, since it uses as much as digits as its factorization.

29514980371968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 29514980371968 in words is "twenty-nine trillion, five hundred fourteen billion, nine hundred eighty million, three hundred seventy-one thousand, nine hundred sixty-eight".