29382811478016 has 48 divisors (see below), whose sum is σ = 78335034523200. Its totient is φ = 9794270490624.

The previous prime is 29382811477991. The next prime is 29382811478017. The reversal of 29382811478016 is 61087411828392.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×29382811478016² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (29382811478017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2391173176 + ... + 2391185463.

It is an arithmetic number, because the mean of its divisors is an integer number (1631979885900).

Almost surely, 2^{29382811478016} is an apocalyptic number.

It is an amenable number.

29382811478016 is an abundant number, since it is smaller than the sum of its proper divisors (48952223045184).

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

29382811478016 is an equidigital number, since it uses as much as digits as its factorization.

29382811478016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782358664 (or 4782358644 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 29382811478016 in words is "twenty-nine trillion, three hundred eighty-two billion, eight hundred eleven million, four hundred seventy-eight thousand, sixteen".