29468150712 has 768 divisors, whose sum is σ = 115860326400. Its totient is φ = 6514421760.

The previous prime is 29468150687. The next prime is 29468150729. The reversal of 29468150712 is 21705186492.

29468150712 is a `hidden beast` number, since 29 + 46 + 81 + 507 + 1 + 2 = 666.

It is a super-2 number, since 2×29468150712² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48071718 + ... + 48072330.

It is an arithmetic number, because the mean of its divisors is an integer number (150859800).

Almost surely, 2^29468150712 is an apocalyptic number.

29468150712 is a gapful number since it is divisible by the number (22) 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 29468150712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57930163200).

29468150712 is an abundant number, since it is smaller than the sum of its proper divisors (86392175688).

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

29468150712 is a wasteful number, since it uses less digits than its factorization.

29468150712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 29468150712 in words is "twenty-nine billion, four hundred sixty-eight million, one hundred fifty thousand, seven hundred twelve".