22729314348720 has 2240 divisors, whose sum is σ = 97380067276800. Its totient is φ = 4819796213760.

The previous prime is 22729314348709. The next prime is 22729314348731. The reversal of 22729314348720 is 2784341392722.

It is a happy number.

22729314348720 is a `hidden beast` number, since 2 + 2 + 7 + 293 + 1 + 4 + 348 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22729314348709) and next prime (22729314348731).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 49304369290 + ... + 49304369750.

It is an arithmetic number, because the mean of its divisors is an integer number (43473244320).

Almost surely, 2^{22729314348720} is an apocalyptic number.

22729314348720 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 22729314348720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48690033638400).

22729314348720 is an abundant number, since it is smaller than the sum of its proper divisors (74650752928080).

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

22729314348720 is a wasteful number, since it uses less digits than its factorization.

22729314348720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 22729314348720 in words is "twenty-two trillion, seven hundred twenty-nine billion, three hundred fourteen million, three hundred forty-eight thousand, seven hundred twenty".