29139965946 has 240 divisors, whose sum is σ = 81219815424. Its totient is φ = 7645891968.

The previous prime is 29139965929. The next prime is 29139965951. The reversal of 29139965946 is 64956993192.

29139965946 is a `hidden beast` number, since 2 + 9 + 1 + 39 + 9 + 6 + 594 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73400220 + ... + 73400616.

Almost surely, 2^29139965946 is an apocalyptic number.

29139965946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29139965946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40609907712).

29139965946 is an abundant number, since it is smaller than the sum of its proper divisors (52079849478).

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

29139965946 is a wasteful number, since it uses less digits than its factorization.

29139965946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 805 counting only the distinct ones).

The product of its digits is 28343520, while the sum is 63.

The spelling of 29139965946 in words is "twenty-nine billion, one hundred thirty-nine million, nine hundred sixty-five thousand, nine hundred forty-six".