622531312445952 has 5760 divisors, whose sum is σ = 2579051570135040. Its totient is φ = 146144328744960.

The previous prime is 622531312445947. The next prime is 622531312445963. The reversal of 622531312445952 is 259544213135226.

622531312445952 is a `hidden beast` number, since 6 + 2 + 2 + 5 + 3 + 1 + 3 + 1 + 2 + 44 + 595 + 2 = 666.

It is a super-4 number, since 4×622531312445952⁴ (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 575 ways as a sum of consecutive naturals, for example, 3727732409773 + ... + 3727732409939.

It is an arithmetic number, because the mean of its divisors is an integer number (447752008704).

Almost surely, 2^{622531312445952} is an apocalyptic number.

622531312445952 is a gapful number since it is divisible by the number (62) 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 622531312445952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289525785067520).

622531312445952 is an abundant number, since it is smaller than the sum of its proper divisors (1956520257689088).

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

622531312445952 is a wasteful number, since it uses less digits than its factorization.

622531312445952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 285 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 622531312445952 in words is "six hundred twenty-two trillion, five hundred thirty-one billion, three hundred twelve million, four hundred forty-five thousand, nine hundred fifty-two".