29142621328496 has 160 divisors (see below), whose sum is σ = 64930960610880. Its totient is φ = 12559944499200.

The previous prime is 29142621328481. The next prime is 29142621328559. The reversal of 29142621328496 is 69482312624192.

It is a super-2 number, since 2×29142621328496² (a number of 28 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 31 ways as a sum of consecutive naturals, for example, 80649986 + ... + 81010526.

It is an arithmetic number, because the mean of its divisors is an integer number (405818503818).

Almost surely, 2^{29142621328496} is an apocalyptic number.

29142621328496 is a gapful number since it is divisible by the number (26) 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 29142621328496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32465480305440).

29142621328496 is an abundant number, since it is smaller than the sum of its proper divisors (35788339282384).

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

29142621328496 is a wasteful number, since it uses less digits than its factorization.

29142621328496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360875 (or 360869 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 59.

The spelling of 29142621328496 in words is "twenty-nine trillion, one hundred forty-two billion, six hundred twenty-one million, three hundred twenty-eight thousand, four hundred ninety-six".