29106111320064 has 117 divisors (see below), whose sum is σ = 84077049564183. Its totient is φ = 9701691826176.

The previous prime is 29106111320023. The next prime is 29106111320081. The reversal of 29106111320064 is 46002311160192.

It is a happy number.

The square root of 29106111320064 is 5395008.

It is a perfect power (a square), and thus also a powerful number.

29106111320064 is a `hidden beast` number, since 2 + 9 + 1 + 0 + 611 + 1 + 32 + 0 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1035827487 + ... + 1035855585.

Almost surely, 2^{29106111320064} is an apocalyptic number.

29106111320064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29106111320064 is the 5395008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29106111320064

29106111320064 is an abundant number, since it is smaller than the sum of its proper divisors (54970938244119).

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

29106111320064 is an frugal number, since it uses more digits than its factorization.

29106111320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56228 (or 28104 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

29106111320064 divided by its sum of digits (36) gives a square (808503092224 = 899168²).

The spelling of 29106111320064 in words is "twenty-nine trillion, one hundred six billion, one hundred eleven million, three hundred twenty thousand, sixty-four".