10622172266496 has 504 divisors, whose sum is σ = 36404377221744. Its totient is φ = 3034715258880.

The previous prime is 10622172266491. The next prime is 10622172266501. The reversal of 10622172266496 is 69466227122601.

10622172266496 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 21 + 72 + 2 + 66 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (10622172266491) and next prime (10622172266501).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×10622172266496² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10622172266491) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 668852476 + ... + 668868356.

It is an arithmetic number, because the mean of its divisors is an integer number (72230907186).

Almost surely, 2^{10622172266496} is an apocalyptic number.

10622172266496 is a gapful number since it is divisible by the number (16) 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 10622172266496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18202188610872).

10622172266496 is an abundant number, since it is smaller than the sum of its proper divisors (25782204955248).

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

10622172266496 is an frugal number, since it uses more digits than its factorization.

10622172266496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15940 (or 15893 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 10622172266496 in words is "ten trillion, six hundred twenty-two billion, one hundred seventy-two million, two hundred sixty-six thousand, four hundred ninety-six".