13822807950 has 960 divisors, whose sum is σ = 51335285760. Its totient is φ = 2682408960.

The previous prime is 13822807903. The next prime is 13822807981. The reversal of 13822807950 is 5970822831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 13822807896 and 13822807905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 321460629 + ... + 321460671.

It is an arithmetic number, because the mean of its divisors is an integer number (53474256).

Almost surely, 2^13822807950 is an apocalyptic number.

13822807950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13822807950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25667642880).

13822807950 is an abundant number, since it is smaller than the sum of its proper divisors (37512477810).

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

13822807950 is a wasteful number, since it uses less digits than its factorization.

13822807950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 13822807950 in words is "thirteen billion, eight hundred twenty-two million, eight hundred seven thousand, nine hundred fifty".