22345002516480 has 1008 divisors, whose sum is σ = 84460491601920. Its totient is φ = 5029037604864.

The previous prime is 22345002516451. The next prime is 22345002516497. The reversal of 22345002516480 is 8461520054322.

It is a super-2 number, since 2×22345002516480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60885565257 + ... + 60885565623.

It is an arithmetic number, because the mean of its divisors is an integer number (83790170240).

Almost surely, 2^{22345002516480} is an apocalyptic number.

22345002516480 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 22345002516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42230245800960).

22345002516480 is an abundant number, since it is smaller than the sum of its proper divisors (62115489085440).

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

22345002516480 is an frugal number, since it uses more digits than its factorization.

22345002516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 22345002516480 in words is "twenty-two trillion, three hundred forty-five billion, two million, five hundred sixteen thousand, four hundred eighty".