29422251322464 has 1536 divisors, whose sum is σ = 111163319156736. Its totient is φ = 6564493393920.

The previous prime is 29422251322463. The next prime is 29422251322469. The reversal of 29422251322464 is 46422315222492.

It is a super-2 number, since 2×29422251322464² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29422251322463) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33548746794 + ... + 33548747670.

It is an arithmetic number, because the mean of its divisors is an integer number (72371952576).

Almost surely, 2^{29422251322464} is an apocalyptic number.

29422251322464 is a gapful number since it is divisible by the number (24) 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 29422251322464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55581659578368).

29422251322464 is an abundant number, since it is smaller than the sum of its proper divisors (81741067834272).

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

29422251322464 is a wasteful number, since it uses less digits than its factorization.

29422251322464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1332 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The spelling of 29422251322464 in words is "twenty-nine trillion, four hundred twenty-two billion, two hundred fifty-one million, three hundred twenty-two thousand, four hundred sixty-four".