19158220224 has 896 divisors, whose sum is σ = 71115448320. Its totient is φ = 4976640000.

The previous prime is 19158220219. The next prime is 19158220241. The reversal of 19158220224 is 42202285191.

It is a super-2 number, since 2×19158220224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 314069154 + ... + 314069214.

It is an arithmetic number, because the mean of its divisors is an integer number (79369920).

Almost surely, 2^19158220224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19158220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35557724160).

19158220224 is an abundant number, since it is smaller than the sum of its proper divisors (51957228096).

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

19158220224 is a wasteful number, since it uses less digits than its factorization.

19158220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 19158220224 in words is "nineteen billion, one hundred fifty-eight million, two hundred twenty thousand, two hundred twenty-four".