29046459060 has 240 divisors, whose sum is σ = 92971205712. Its totient is φ = 7589376000.

The previous prime is 29046459053. The next prime is 29046459067. The reversal of 29046459060 is 6095464092.

It is an interprime number because it is at equal distance from previous prime (29046459053) and next prime (29046459067).

It can be written as a sum of positive squares in 8 ways, for example, as 2351474064 + 26694984996 = 48492^2 + 163386^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 29046458997 and 29046459015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29046459067) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39626454 + ... + 39627186.

Almost surely, 2^29046459060 is an apocalyptic number.

29046459060 is a gapful number since it is divisible by the number (20) 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 29046459060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46485602856).

29046459060 is an abundant number, since it is smaller than the sum of its proper divisors (63924746652).

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

29046459060 is a wasteful number, since it uses less digits than its factorization.

29046459060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 29046459060 in words is "twenty-nine billion, forty-six million, four hundred fifty-nine thousand, sixty".