22145968373760 has 3192 divisors, whose sum is σ = 103478298698016. Its totient is φ = 4494741995520.

The previous prime is 22145968373743. The next prime is 22145968373843. The reversal of 22145968373760 is 6737386954122.

It is a happy number.

22145968373760 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 596 + 8 + 3 + 7 + 37 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 515022520299 + ... + 515022520341.

It is a 1-persistent number, because it is pandigital, but 2⋅22145968373760 = 44291936747520 is not.

Almost surely, 2^{22145968373760} is an apocalyptic number.

22145968373760 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 22145968373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51739149349008).

22145968373760 is an abundant number, since it is smaller than the sum of its proper divisors (81332330324256).

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

22145968373760 is an frugal number, since it uses more digits than its factorization.

22145968373760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 22145968373760 in words is "twenty-two trillion, one hundred forty-five billion, nine hundred sixty-eight million, three hundred seventy-three thousand, seven hundred sixty".